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Atlas › Integer Profiles › Node 46,032,520

46,032,520

23 × 5 × 31 × 37123
Abundant Even Composite

46,032,520 factors as 2^3 × 5 × 31 × 37123. Its 32 positive divisors give a proper-divisor sum of 60,884,600, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 37123
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 106,917,120
Proper Divisor Sum 60,884,600
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #46032517 ← → #46032523

Radix Representation

Decimal 46032520
Binary 10101111100110011010001000 (26 bits)
Octal 0o257463210
Hexadecimal 0x2BE6688

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 37,123 74,246 148,492 185,615 296,984 371,230 742,460 1,150,813 1,484,920 2,301,626 4,603,252 5,754,065 9,206,504 11,508,130 23,016,260 46,032,520

Collatz Trajectory (173 steps to reach 1)

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

46,032,520 23,016,260 11,508,130 5,754,065 17,262,196 8,631,098 4,315,549 12,946,648 6,473,324 3,236,662 1,618,331 4,854,994 2,427,497 7,282,492 3,641,246 1,820,623 5,461,870 2,730,935 8,192,806 4,096,403 12,289,210 6,144,605 18,433,816 9,216,908 4,608,454 2,304,227 6,912,682 3,456,341 10,369,024 5,184,512 2,592,256 1,296,128 648,064 324,032 162,016 81,008 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113

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