4,741,912

2³ × 7 × 17² × 293

4,741,912 factors as 2^3 × 7 × 17^2 × 293. Its 48 positive divisors give a proper-divisor sum of 6,089,048, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17^2 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,830,960

Proper Divisor Sum 6,089,048

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4741901 ← → #4741931

Radix Representation

Decimal	4741912
Binary	10010000101101100011000 (23 bits)
Octal	0o22055430
Hexadecimal	0x485B18

Divisor Catalog (48)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 293 476 578 586 952 1,156 1,172 2,023 2,051 2,312 2,344 4,046 4,102 4,981 8,092 8,204 9,962 16,184 16,408 19,924 34,867 39,848 69,734 84,677 139,468 169,354 278,936 338,708 592,739 677,416 1,185,478 2,370,956 4,741,912

Collatz Trajectory (56 steps to reach 1)

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

4,741,912 2,370,956 1,185,478 592,739 1,778,218 889,109 2,667,328 1,333,664 666,832 333,416 166,708 83,354 41,677 125,032 62,516 31,258 15,629 46,888 23,444 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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