464,328

2³ × 3² × 6449

464,328 factors as 2^3 × 3^2 × 6449. Its 24 positive divisors give a proper-divisor sum of 793,422, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 6449

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,257,750

Proper Divisor Sum 793,422

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #464327 ← → #464351

Radix Representation

Decimal	464328
Binary	1110001010111001000 (19 bits)
Octal	0o1612710
Hexadecimal	0x715C8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 6,449 12,898 19,347 25,796 38,694 51,592 58,041 77,388 116,082 154,776 232,164 464,328

Collatz Trajectory (187 steps to reach 1)

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

464,328 232,164 116,082 58,041 174,124 87,062 43,531 130,594 65,297 195,892 97,946 48,973 146,920 73,460 36,730 18,365 55,096 27,548 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281

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