24,001,006

2 × 23 × 31 × 16831

24,001,006 factors as 2 × 23 × 31 × 16831. Its 16 positive divisors give a proper-divisor sum of 14,779,922, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 23 × 31 × 16831

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 38,780,928

Proper Divisor Sum 14,779,922

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #24000967 ← → #24001007

Radix Representation

Decimal	24001006
Binary	1011011100011100111101110 (25 bits)
Octal	0o133434756
Hexadecimal	0x16E39EE

Divisor Catalog (16)

1 2 23 31 46 62 713 1,426 16,831 33,662 387,113 521,761 774,226 1,043,522 12,000,503 24,001,006

Collatz Trajectory (115 steps to reach 1)

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

24,001,006 12,000,503 36,001,510 18,000,755 54,002,266 27,001,133 81,003,400 40,501,700 20,250,850 10,125,425 30,376,276 15,188,138 7,594,069 22,782,208 11,391,104 5,695,552 2,847,776 1,423,888 711,944 355,972 177,986 88,993 266,980 133,490 66,745 200,236 100,118 50,059 150,178 75,089 225,268 112,634 56,317 168,952 84,476 42,238 21,119 63,358 31,679 95,038 47,519 142,558 71,279 213,838 106,919 320,758 160,379 481,138 240,569 721,708 360,854 180,427 541,282 270,641 811,924 405,962 202,981 608,944 304,472 152,236

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