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Atlas › Integer Profiles › Node 46,214,432

46,214,432

25 × 11 × 17 × 7723
Abundant Even Composite

46,214,432 factors as 2^5 × 11 × 17 × 7723. Its 48 positive divisors give a proper-divisor sum of 58,893,760, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 17 × 7723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,108,192
Proper Divisor Sum 58,893,760
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #46214431 ← → #46214437

Radix Representation

Decimal 46214432
Binary 10110000010010110100100000 (26 bits)
Octal 0o260226440
Hexadecimal 0x2C12D20

Divisor Catalog (48)

1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1,496 2,992 5,984 7,723 15,446 30,892 61,784 84,953 123,568 131,291 169,906 247,136 262,582 339,812 525,164 679,624 1,050,328 1,359,248 1,444,201 2,100,656 2,718,496 2,888,402 4,201,312 5,776,804 11,553,608 23,107,216 46,214,432

Collatz Trajectory (124 steps to reach 1)

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

46,214,432 23,107,216 11,553,608 5,776,804 2,888,402 1,444,201 4,332,604 2,166,302 1,083,151 3,249,454 1,624,727 4,874,182 2,437,091 7,311,274 3,655,637 10,966,912 5,483,456 2,741,728 1,370,864 685,432 342,716 171,358 85,679 257,038 128,519 385,558 192,779 578,338 289,169 867,508 433,754 216,877 650,632 325,316 162,658 81,329 243,988 121,994 60,997 182,992 91,496 45,748 22,874 11,437 34,312 17,156 8,578 4,289 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358

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