5,125,769

11 × 61 × 7639

Starting at 5,125,769, the Collatz iteration reaches 1 after 157 steps. The first transition is 15377308; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 61 × 7639

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,684,160

Proper Divisor Sum 558,391

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5125759 ← → #5125781

Radix Representation

Decimal	5125769
Binary	10011100011011010001001 (23 bits)
Octal	0o23433211
Hexadecimal	0x4E3689

Divisor Catalog (8)

1 11 61 671 7,639 84,029 465,979 5,125,769

Collatz Trajectory (157 steps to reach 1)

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

5,125,769 15,377,308 7,688,654 3,844,327 11,532,982 5,766,491 17,299,474 8,649,737 25,949,212 12,974,606 6,487,303 19,461,910 9,730,955 29,192,866 14,596,433 43,789,300 21,894,650 10,947,325 32,841,976 16,420,988 8,210,494 4,105,247 12,315,742 6,157,871 18,473,614 9,236,807 27,710,422 13,855,211 41,565,634 20,782,817 62,348,452 31,174,226 15,587,113 46,761,340 23,380,670 11,690,335 35,071,006 17,535,503 52,606,510 26,303,255 78,909,766 39,454,883 118,364,650 59,182,325 177,546,976 88,773,488 44,386,744 22,193,372 11,096,686 5,548,343 16,645,030 8,322,515 24,967,546 12,483,773 37,451,320 18,725,660 9,362,830 4,681,415 14,044,246 7,022,123

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