3,431,810

2 × 5 × 113 × 3037

Starting at 3,431,810, the Collatz iteration reaches 1 after 76 steps. The first transition is 1715905; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 113 × 3037

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,233,976

Proper Divisor Sum 2,802,166

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3431797 ← → #3431819

Radix Representation

Decimal	3431810
Binary	1101000101110110000010 (22 bits)
Octal	0o15056602
Hexadecimal	0x345D82

Divisor Catalog (16)

1 2 5 10 113 226 565 1,130 3,037 6,074 15,185 30,370 343,181 686,362 1,715,905 3,431,810

Collatz Trajectory (76 steps to reach 1)

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

3,431,810 1,715,905 5,147,716 2,573,858 1,286,929 3,860,788 1,930,394 965,197 2,895,592 1,447,796 723,898 361,949 1,085,848 542,924 271,462 135,731 407,194 203,597 610,792 305,396 152,698 76,349 229,048 114,524 57,262 28,631 85,894 42,947 128,842 64,421 193,264 96,632 48,316 24,158 12,079 36,238 18,119 54,358 27,179 81,538 40,769 122,308 61,154 30,577 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605

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