440,964

2² × 3⁴ × 1361

440,964 factors as 2^2 × 3^4 × 1361. Its 30 positive divisors give a proper-divisor sum of 712,650, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 1361

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 1,153,614

Proper Divisor Sum 712,650

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #440959 ← → #440983

Radix Representation

Decimal	440964
Binary	1101011101010000100 (19 bits)
Octal	0o1535204
Hexadecimal	0x6BA84

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1,361 2,722 4,083 5,444 8,166 12,249 16,332 24,498 36,747 48,996 73,494 110,241 146,988 220,482 440,964

Collatz Trajectory (187 steps to reach 1)

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

440,964 220,482 110,241 330,724 165,362 82,681 248,044 124,022 62,011 186,034 93,017 279,052 139,526 69,763 209,290 104,645 313,936 156,968 78,484 39,242 19,621 58,864 29,432 14,716 7,358 3,679 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806

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