99,004

2² × 53 × 467

99,004 factors as 2^2 × 53 × 467. Its 12 positive divisors give a proper-divisor sum of 77,900, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 176,904

Proper Divisor Sum 77,900

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #98999 ← → #99013

Radix Representation

Decimal	99004
Binary	11000001010111100 (17 bits)
Octal	0o301274
Hexadecimal	0x182BC

Divisor Catalog (12)

1 2 4 53 106 212 467 934 1,868 24,751 49,502 99,004

Collatz Trajectory (190 steps to reach 1)

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

99,004 49,502 24,751 74,254 37,127 111,382 55,691 167,074 83,537 250,612 125,306 62,653 187,960 93,980 46,990 23,495 70,486 35,243 105,730 52,865 158,596 79,298 39,649 118,948 59,474 29,737 89,212 44,606 22,303 66,910 33,455 100,366 50,183 150,550 75,275 225,826 112,913 338,740 169,370 84,685 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770

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