λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,896,928

46,896,928

25 × 13 × 79 × 1427
Abundant Even Composite

46,896,928 factors as 2^5 × 13 × 79 × 1427. Its 48 positive divisors give a proper-divisor sum of 53,862,752, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 79 × 1427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 100,759,680
Proper Divisor Sum 53,862,752
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #46896911 ← → #46896947

Radix Representation

Decimal 46896928
Binary 10110010111001011100100000 (26 bits)
Octal 0o262713440
Hexadecimal 0x2CB9720

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 79 104 158 208 316 416 632 1,027 1,264 1,427 2,054 2,528 2,854 4,108 5,708 8,216 11,416 16,432 18,551 22,832 32,864 37,102 45,664 74,204 112,733 148,408 225,466 296,816 450,932 593,632 901,864 1,465,529 1,803,728 2,931,058 3,607,456 5,862,116 11,724,232 23,448,464 46,896,928

Collatz Trajectory (217 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

46,896,928 23,448,464 11,724,232 5,862,116 2,931,058 1,465,529 4,396,588 2,198,294 1,099,147 3,297,442 1,648,721 4,946,164 2,473,082 1,236,541 3,709,624 1,854,812 927,406 463,703 1,391,110 695,555 2,086,666 1,043,333 3,130,000 1,565,000 782,500 391,250 195,625 586,876 293,438 146,719 440,158 220,079 660,238 330,119 990,358 495,179 1,485,538 742,769 2,228,308 1,114,154 557,077 1,671,232 835,616 417,808 208,904 104,452 52,226 26,113 78,340 39,170 19,585 58,756 29,378 14,689 44,068 22,034 11,017 33,052 16,526 8,263

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #46,896,927 Browse Full Index Next Integer #46,896,929 →