8,435,596

2² × 13 × 31 × 5233

Starting at 8,435,596, the Collatz iteration reaches 1 after 106 steps. The first transition is 4217798; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 5233

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,413,824

Proper Divisor Sum 7,978,228

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8435591 ← → #8435599

Radix Representation

Decimal	8435596
Binary	100000001011011110001100 (24 bits)
Octal	0o40133614
Hexadecimal	0x80B78C

Divisor Catalog (24)

1 2 4 13 26 31 52 62 124 403 806 1,612 5,233 10,466 20,932 68,029 136,058 162,223 272,116 324,446 648,892 2,108,899 4,217,798 8,435,596

Collatz Trajectory (106 steps to reach 1)

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

8,435,596 4,217,798 2,108,899 6,326,698 3,163,349 9,490,048 4,745,024 2,372,512 1,186,256 593,128 296,564 148,282 74,141 222,424 111,212 55,606 27,803 83,410 41,705 125,116 62,558 31,279 93,838 46,919 140,758 70,379 211,138 105,569 316,708 158,354 79,177 237,532 118,766 59,383 178,150 89,075 267,226 133,613 400,840 200,420 100,210 50,105 150,316 75,158 37,579 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674 17,837 53,512

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