9,836,404

2² × 17² × 67 × 127

9,836,404 factors as 2^2 × 17^2 × 67 × 127. Its 36 positive divisors give a proper-divisor sum of 8,868,492, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2^2 × 17^2 × 67 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 18,704,896

Proper Divisor Sum 8,868,492

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9836399 ← → #9836417

Radix Representation

Decimal	9836404
Binary	100101100001011101110100 (24 bits)
Octal	0o45413564
Hexadecimal	0x961774

Divisor Catalog (36)

1 2 4 17 34 67 68 127 134 254 268 289 508 578 1,139 1,156 2,159 2,278 4,318 4,556 8,509 8,636 17,018 19,363 34,036 36,703 38,726 73,406 77,452 144,653 146,812 289,306 578,612 2,459,101 4,918,202 9,836,404

Collatz Trajectory (269 steps to reach 1)

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

9,836,404 4,918,202 2,459,101 7,377,304 3,688,652 1,844,326 922,163 2,766,490 1,383,245 4,149,736 2,074,868 1,037,434 518,717 1,556,152 778,076 389,038 194,519 583,558 291,779 875,338 437,669 1,313,008 656,504 328,252 164,126 82,063 246,190 123,095 369,286 184,643 553,930 276,965 830,896 415,448 207,724 103,862 51,931 155,794 77,897 233,692 116,846 58,423 175,270 87,635 262,906 131,453 394,360 197,180 98,590 49,295 147,886 73,943 221,830 110,915 332,746 166,373 499,120 249,560 124,780 62,390

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