408,740

2² × 5 × 107 × 191

408,740 factors as 2^2 × 5 × 107 × 191. Its 24 positive divisors give a proper-divisor sum of 462,172, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 107 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 870,912

Proper Divisor Sum 462,172

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #408719 ← → #408743

Radix Representation

Decimal	408740
Binary	1100011110010100100 (19 bits)
Octal	0o1436244
Hexadecimal	0x63CA4

Divisor Catalog (24)

1 2 4 5 10 20 107 191 214 382 428 535 764 955 1,070 1,910 2,140 3,820 20,437 40,874 81,748 102,185 204,370 408,740

Collatz Trajectory (86 steps to reach 1)

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

408,740 204,370 102,185 306,556 153,278 76,639 229,918 114,959 344,878 172,439 517,318 258,659 775,978 387,989 1,163,968 581,984 290,992 145,496 72,748 36,374 18,187 54,562 27,281 81,844 40,922 20,461 61,384 30,692 15,346 7,673 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433

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