309,448

2³ × 47 × 823

309,448 factors as 2^3 × 47 × 823. Its 16 positive divisors give a proper-divisor sum of 283,832, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 47 × 823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 593,280

Proper Divisor Sum 283,832

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #309437 ← → #309457

Radix Representation

Decimal	309448
Binary	1001011100011001000 (19 bits)
Octal	0o1134310
Hexadecimal	0x4B8C8

Divisor Catalog (16)

1 2 4 8 47 94 188 376 823 1,646 3,292 6,584 38,681 77,362 154,724 309,448

Collatz Trajectory (140 steps to reach 1)

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

309,448 154,724 77,362 38,681 116,044 58,022 29,011 87,034 43,517 130,552 65,276 32,638 16,319 48,958 24,479 73,438 36,719 110,158 55,079 165,238 82,619 247,858 123,929 371,788 185,894 92,947 278,842 139,421 418,264 209,132 104,566 52,283 156,850 78,425 235,276 117,638 58,819 176,458 88,229 264,688 132,344 66,172 33,086 16,543 49,630 24,815 74,446 37,223 111,670 55,835 167,506 83,753 251,260 125,630 62,815 188,446 94,223 282,670 141,335 424,006

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