5,150,760

2³ × 3 × 5 × 42923

Starting at 5,150,760, the Collatz iteration reaches 1 after 157 steps. The first transition is 2575380; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 42923

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,452,640

Proper Divisor Sum 10,301,880

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5150741 ← → #5150773

Radix Representation

Decimal	5150760
Binary	10011101001100000101000 (23 bits)
Octal	0o23514050
Hexadecimal	0x4E9828

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 42,923 85,846 128,769 171,692 214,615 257,538 343,384 429,230 515,076 643,845 858,460 1,030,152 1,287,690 1,716,920 2,575,380 5,150,760

Collatz Trajectory (157 steps to reach 1)

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

5,150,760 2,575,380 1,287,690 643,845 1,931,536 965,768 482,884 241,442 120,721 362,164 181,082 90,541 271,624 135,812 67,906 33,953 101,860 50,930 25,465 76,396 38,198 19,099 57,298 28,649 85,948 42,974 21,487 64,462 32,231 96,694 48,347 145,042 72,521 217,564 108,782 54,391 163,174 81,587 244,762 122,381 367,144 183,572 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447

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