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Atlas › Integer Profiles › Node 46,985,960

46,985,960

23 × 5 × 7 × 17 × 9871
Abundant Even Composite

46,985,960 factors as 2^3 × 5 × 7 × 17 × 9871. Its 64 positive divisors give a proper-divisor sum of 80,955,160, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17 × 9871
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 127,941,120
Proper Divisor Sum 80,955,160
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #46985957 ← → #46985969

Radix Representation

Decimal 46985960
Binary 10110011001111001011101000 (26 bits)
Octal 0o263171350
Hexadecimal 0x2CCF2E8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1,190 2,380 4,760 9,871 19,742 39,484 49,355 69,097 78,968 98,710 138,194 167,807 197,420 276,388 335,614 345,485 394,840 552,776 671,228 690,970 839,035 1,174,649 1,342,456 1,381,940 1,678,070 2,349,298 2,763,880 3,356,140 4,698,596 5,873,245 6,712,280

Collatz Trajectory (93 steps to reach 1)

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

46,985,960 23,492,980 11,746,490 5,873,245 17,619,736 8,809,868 4,404,934 2,202,467 6,607,402 3,303,701 9,911,104 4,955,552 2,477,776 1,238,888 619,444 309,722 154,861 464,584 232,292 116,146 58,073 174,220 87,110 43,555 130,666 65,333 196,000 98,000 49,000 24,500 12,250 6,125 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384

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