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Atlas › Integer Profiles › Node 10,293,262

10,293,262

2 × 7 × 17 × 61 × 709
Deficient Even Composite

10,293,262 factors as 2 × 7 × 17 × 61 × 709. Its 32 positive divisors give a proper-divisor sum of 8,723,378, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 61 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,016,640
Proper Divisor Sum 8,723,378
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10293253 ← → #10293263

Radix Representation

Decimal 10293262
Binary 100111010001000000001110 (24 bits)
Octal 0o47210016
Hexadecimal 0x9D100E

Divisor Catalog (32)

1 2 7 14 17 34 61 119 122 238 427 709 854 1,037 1,418 2,074 4,963 7,259 9,926 12,053 14,518 24,106 43,249 84,371 86,498 168,742 302,743 605,486 735,233 1,470,466 5,146,631 10,293,262

Collatz Trajectory (114 steps to reach 1)

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

10,293,262 5,146,631 15,439,894 7,719,947 23,159,842 11,579,921 34,739,764 17,369,882 8,684,941 26,054,824 13,027,412 6,513,706 3,256,853 9,770,560 4,885,280 2,442,640 1,221,320 610,660 305,330 152,665 457,996 228,998 114,499 343,498 171,749 515,248 257,624 128,812 64,406 32,203 96,610 48,305 144,916 72,458 36,229 108,688 54,344 27,172 13,586 6,793 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814

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