410,572

2² × 102643

Starting at 410,572, the Collatz iteration reaches 1 after 99 steps. The first transition is 205286; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 102643

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 718,508

Proper Divisor Sum 307,936

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #410561 ← → #410587

Radix Representation

Decimal	410572
Binary	1100100001111001100 (19 bits)
Octal	0o1441714
Hexadecimal	0x643CC

Divisor Catalog (6)

1 2 4 102,643 205,286 410,572

Collatz Trajectory (99 steps to reach 1)

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

410,572 205,286 102,643 307,930 153,965 461,896 230,948 115,474 57,737 173,212 86,606 43,303 129,910 64,955 194,866 97,433 292,300 146,150 73,075 219,226 109,613 328,840 164,420 82,210 41,105 123,316 61,658 30,829 92,488 46,244 23,122 11,561 34,684 17,342 8,671 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628

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