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Atlas › Integer Profiles › Node 10,278,520

10,278,520

23 × 5 × 7 × 36709
Abundant Even Composite

10,278,520 factors as 2^3 × 5 × 7 × 36709. Its 32 positive divisors give a proper-divisor sum of 16,152,680, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 36709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,431,200
Proper Divisor Sum 16,152,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10278517 ← → #10278533

Radix Representation

Decimal 10278520
Binary 100111001101011001111000 (24 bits)
Octal 0o47153170
Hexadecimal 0x9CD678

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 36,709 73,418 146,836 183,545 256,963 293,672 367,090 513,926 734,180 1,027,852 1,284,815 1,468,360 2,055,704 2,569,630 5,139,260 10,278,520

Collatz Trajectory (158 steps to reach 1)

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

10,278,520 5,139,260 2,569,630 1,284,815 3,854,446 1,927,223 5,781,670 2,890,835 8,672,506 4,336,253 13,008,760 6,504,380 3,252,190 1,626,095 4,878,286 2,439,143 7,317,430 3,658,715 10,976,146 5,488,073 16,464,220 8,232,110 4,116,055 12,348,166 6,174,083 18,522,250 9,261,125 27,783,376 13,891,688 6,945,844 3,472,922 1,736,461 5,209,384 2,604,692 1,302,346 651,173 1,953,520 976,760 488,380 244,190 122,095 366,286 183,143 549,430 274,715 824,146 412,073 1,236,220 618,110 309,055 927,166 463,583 1,390,750 695,375 2,086,126 1,043,063 3,129,190 1,564,595 4,693,786 2,346,893

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