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Atlas › Integer Profiles › Node 9,739,840

9,739,840

26 × 5 × 11 × 2767
Abundant Even Composite

9,739,840 factors as 2^6 × 5 × 11 × 2767. Its 56 positive divisors give a proper-divisor sum of 15,570,752, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 11 × 2767
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 25,310,592
Proper Divisor Sum 15,570,752
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9739823 ← → #9739841

Radix Representation

Decimal 9739840
Binary 100101001001111001000000 (24 bits)
Octal 0o45117100
Hexadecimal 0x949E40

Divisor Catalog (56)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1,760 2,767 3,520 5,534 11,068 13,835 22,136 27,670 30,437 44,272 55,340 60,874 88,544 110,680 121,748 152,185 177,088 221,360 243,496 304,370 442,720 486,992 608,740 885,440 973,984 1,217,480 1,947,968 2,434,960 4,869,920 9,739,840

Collatz Trajectory (119 steps to reach 1)

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

9,739,840 4,869,920 2,434,960 1,217,480 608,740 304,370 152,185 456,556 228,278 114,139 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696

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