4,158,557

13 × 17 × 31 × 607

Starting at 4,158,557, the Collatz iteration reaches 1 after 167 steps. The first transition is 12475672; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 31 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,902,912

Proper Divisor Sum 744,355

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4158551 ← → #4158559

Radix Representation

Decimal	4158557
Binary	1111110111010001011101 (22 bits)
Octal	0o17672135
Hexadecimal	0x3F745D

Divisor Catalog (16)

1 13 17 31 221 403 527 607 6,851 7,891 10,319 18,817 134,147 244,621 319,889 4,158,557

Collatz Trajectory (167 steps to reach 1)

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

4,158,557 12,475,672 6,237,836 3,118,918 1,559,459 4,678,378 2,339,189 7,017,568 3,508,784 1,754,392 877,196 438,598 219,299 657,898 328,949 986,848 493,424 246,712 123,356 61,678 30,839 92,518 46,259 138,778 69,389 208,168 104,084 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124

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