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3,624,435

32 × 5 × 239 × 337
Deficient Odd Composite

3,624,435 factors as 3^2 × 5 × 239 × 337. Its 24 positive divisors give a proper-divisor sum of 2,702,925, so this integer is deficient. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 239 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,327,360
Proper Divisor Sum 2,702,925
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3624433 ← → #3624443

Radix Representation

Decimal 3624435
Binary 1101110100110111110011 (22 bits)
Octal 0o15646763
Hexadecimal 0x374DF3

Divisor Catalog (24)

1 3 5 9 15 45 239 337 717 1,011 1,195 1,685 2,151 3,033 3,585 5,055 10,755 15,165 80,543 241,629 402,715 724,887 1,208,145 3,624,435

Collatz Trajectory (265 steps to reach 1)

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

3,624,435 10,873,306 5,436,653 16,309,960 8,154,980 4,077,490 2,038,745 6,116,236 3,058,118 1,529,059 4,587,178 2,293,589 6,880,768 3,440,384 1,720,192 860,096 430,048 215,024 107,512 53,756 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170 64,585 193,756 96,878 48,439 145,318 72,659 217,978 108,989 326,968 163,484 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942

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