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Atlas › Integer Profiles › Node 10,074,840

10,074,840

23 × 3 × 5 × 59 × 1423
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 59 × 1423
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 30,758,400
Proper Divisor Sum 20,683,560
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10074839 ← → #10074881

Radix Representation

Decimal 10074840
Binary 100110011011101011011000 (24 bits)
Octal 0o46335330
Hexadecimal 0x99BAD8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1,180 1,416 1,423 1,770 2,360 2,846 3,540 4,269 5,692 7,080 7,115 8,538 11,384 14,230 17,076 21,345 28,460 34,152 42,690 56,920 83,957 85,380 167,914 170,760 251,871 335,828 419,785 503,742 671,656 839,570 1,007,484 1,259,355 1,679,140 2,014,968

Collatz Trajectory (220 steps to reach 1)

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

10,074,840 5,037,420 2,518,710 1,259,355 3,778,066 1,889,033 5,667,100 2,833,550 1,416,775 4,250,326 2,125,163 6,375,490 3,187,745 9,563,236 4,781,618 2,390,809 7,172,428 3,586,214 1,793,107 5,379,322 2,689,661 8,068,984 4,034,492 2,017,246 1,008,623 3,025,870 1,512,935 4,538,806 2,269,403 6,808,210 3,404,105 10,212,316 5,106,158 2,553,079 7,659,238 3,829,619 11,488,858 5,744,429 17,233,288 8,616,644 4,308,322 2,154,161 6,462,484 3,231,242 1,615,621 4,846,864 2,423,432 1,211,716 605,858 302,929 908,788 454,394 227,197 681,592 340,796 170,398 85,199 255,598 127,799 383,398

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