3,055,520

2⁵ × 5 × 13² × 113

3,055,520 factors as 2^5 × 5 × 13^2 × 113. Its 72 positive divisors give a proper-divisor sum of 4,830,316, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 13^2 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 7,885,836

Proper Divisor Sum 4,830,316

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3055519 ← → #3055567

Radix Representation

Decimal	3055520
Binary	1011101001111110100000 (22 bits)
Octal	0o13517640
Hexadecimal	0x2E9FA0

Divisor Catalog (60 of 72)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 113 130 160 169 208 226 260 338 416 452 520 565 676 845 904 1,040 1,130 1,352 1,469 1,690 1,808 2,080 2,260 2,704 2,938 3,380 3,616 4,520 5,408 5,876 6,760 7,345 9,040 11,752 13,520 14,690 18,080 19,097 23,504 27,040 29,380 38,194 47,008 58,760

Collatz Trajectory (107 steps to reach 1)

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

3,055,520 1,527,760 763,880 381,940 190,970 95,485 286,456 143,228 71,614 35,807 107,422 53,711 161,134 80,567 241,702 120,851 362,554 181,277 543,832 271,916 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058 64,529 193,588 96,794 48,397 145,192 72,596 36,298 18,149 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539

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