5,776,625

5³ × 37 × 1249

5,776,625 factors as 5^3 × 37 × 1249. Its 16 positive divisors give a proper-divisor sum of 1,633,375, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 5^3 × 37 × 1249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,410,000

Proper Divisor Sum 1,633,375

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5776619 ← → #5776649

Radix Representation

Decimal	5776625
Binary	10110000010010011110001 (23 bits)
Octal	0o26022361
Hexadecimal	0x5824F1

Divisor Catalog (16)

1 5 25 37 125 185 925 1,249 4,625 6,245 31,225 46,213 156,125 231,065 1,155,325 5,776,625

Collatz Trajectory (121 steps to reach 1)

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

5,776,625 17,329,876 8,664,938 4,332,469 12,997,408 6,498,704 3,249,352 1,624,676 812,338 406,169 1,218,508 609,254 304,627 913,882 456,941 1,370,824 685,412 342,706 171,353 514,060 257,030 128,515 385,546 192,773 578,320 289,160 144,580 72,290 36,145 108,436 54,218 27,109 81,328 40,664 20,332 10,166 5,083 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019

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