40,874,920

2³ × 5 × 29 × 167 × 211

40,874,920 factors as 2^3 × 5 × 29 × 167 × 211. Its 64 positive divisors give a proper-divisor sum of 55,288,280, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 167 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 96,163,200

Proper Divisor Sum 55,288,280

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #40874917 ← → #40874959

Radix Representation

Decimal	40874920
Binary	10011011111011001110101000 (26 bits)
Octal	0o233731650
Hexadecimal	0x26FB3A8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 29 40 58 116 145 167 211 232 290 334 422 580 668 835 844 1,055 1,160 1,336 1,670 1,688 2,110 3,340 4,220 4,843 6,119 6,680 8,440 9,686 12,238 19,372 24,215 24,476 30,595 35,237 38,744 48,430 48,952 61,190 70,474 96,860 122,380 140,948 176,185 193,720 244,760 281,896 352,370 704,740 1,021,873 1,409,480 2,043,746 4,087,492 5,109,365

Collatz Trajectory (253 steps to reach 1)

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

40,874,920 20,437,460 10,218,730 5,109,365 15,328,096 7,664,048 3,832,024 1,916,012 958,006 479,003 1,437,010 718,505 2,155,516 1,077,758 538,879 1,616,638 808,319 2,424,958 1,212,479 3,637,438 1,818,719 5,456,158 2,728,079 8,184,238 4,092,119 12,276,358 6,138,179 18,414,538 9,207,269 27,621,808 13,810,904 6,905,452 3,452,726 1,726,363 5,179,090 2,589,545 7,768,636 3,884,318 1,942,159 5,826,478 2,913,239 8,739,718 4,369,859 13,109,578 6,554,789 19,664,368 9,832,184 4,916,092 2,458,046 1,229,023 3,687,070 1,843,535 5,530,606 2,765,303 8,295,910 4,147,955 12,443,866 6,221,933 18,665,800 9,332,900

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