4,253,571

3² × 7 × 107 × 631

Starting at 4,253,571, the Collatz iteration reaches 1 after 136 steps. The first transition is 12760714; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 107 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,098,624

Proper Divisor Sum 2,845,053

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4253567 ← → #4253573

Radix Representation

Decimal	4253571
Binary	10000001110011110000011 (23 bits)
Octal	0o20163603
Hexadecimal	0x40E783

Divisor Catalog (24)

1 3 7 9 21 63 107 321 631 749 963 1,893 2,247 4,417 5,679 6,741 13,251 39,753 67,517 202,551 472,619 607,653 1,417,857 4,253,571

Collatz Trajectory (136 steps to reach 1)

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

4,253,571 12,760,714 6,380,357 19,141,072 9,570,536 4,785,268 2,392,634 1,196,317 3,588,952 1,794,476 897,238 448,619 1,345,858 672,929 2,018,788 1,009,394 504,697 1,514,092 757,046 378,523 1,135,570 567,785 1,703,356 851,678 425,839 1,277,518 638,759 1,916,278 958,139 2,874,418 1,437,209 4,311,628 2,155,814 1,077,907 3,233,722 1,616,861 4,850,584 2,425,292 1,212,646 606,323 1,818,970 909,485 2,728,456 1,364,228 682,114 341,057 1,023,172 511,586 255,793 767,380 383,690 191,845 575,536 287,768 143,884 71,942 35,971 107,914 53,957 161,872

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