4,571,125

5³ × 13 × 29 × 97

Starting at 4,571,125, the Collatz iteration reaches 1 after 286 steps. The first transition is 13713376; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 13 × 29 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,420,960

Proper Divisor Sum 1,849,835

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4571107 ← → #4571207

Radix Representation

Decimal	4571125
Binary	10001011011111111110101 (23 bits)
Octal	0o21337765
Hexadecimal	0x45BFF5

Divisor Catalog (32)

1 5 13 25 29 65 97 125 145 325 377 485 725 1,261 1,625 1,885 2,425 2,813 3,625 6,305 9,425 12,125 14,065 31,525 36,569 47,125 70,325 157,625 182,845 351,625 914,225 4,571,125

Collatz Trajectory (286 steps to reach 1)

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

4,571,125 13,713,376 6,856,688 3,428,344 1,714,172 857,086 428,543 1,285,630 642,815 1,928,446 964,223 2,892,670 1,446,335 4,339,006 2,169,503 6,508,510 3,254,255 9,762,766 4,881,383 14,644,150 7,322,075 21,966,226 10,983,113 32,949,340 16,474,670 8,237,335 24,712,006 12,356,003 37,068,010 18,534,005 55,602,016 27,801,008 13,900,504 6,950,252 3,475,126 1,737,563 5,212,690 2,606,345 7,819,036 3,909,518 1,954,759 5,864,278 2,932,139 8,796,418 4,398,209 13,194,628 6,597,314 3,298,657 9,895,972 4,947,986 2,473,993 7,421,980 3,710,990 1,855,495 5,566,486 2,783,243 8,349,730 4,174,865 12,524,596 6,262,298

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