8,004,025

5² × 17 × 37 × 509

8,004,025 factors as 5^2 × 17 × 37 × 509. Its 24 positive divisors give a proper-divisor sum of 2,810,015, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 5^2 × 17 × 37 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,814,040

Proper Divisor Sum 2,810,015

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8004013 ← → #8004047

Radix Representation

Decimal	8004025
Binary	11110100010000110111001 (23 bits)
Octal	0o36420671
Hexadecimal	0x7A21B9

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

8,004,025 24,012,076 12,006,038 6,003,019 18,009,058 9,004,529 27,013,588 13,506,794 6,753,397 20,260,192 10,130,096 5,065,048 2,532,524 1,266,262 633,131 1,899,394 949,697 2,849,092 1,424,546 712,273 2,136,820 1,068,410 534,205 1,602,616 801,308 400,654 200,327 600,982 300,491 901,474 450,737 1,352,212 676,106 338,053 1,014,160 507,080 253,540 126,770 63,385 190,156 95,078 47,539 142,618 71,309 213,928 106,964 53,482 26,741 80,224 40,112 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464

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