3,624,208

2⁴ × 7 × 32359

For 3,624,208, the 20 positive divisors have a total of 8,025,280. Removing 3,624,208 leaves 4,401,072, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 7 × 32359

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,025,280

Proper Divisor Sum 4,401,072

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3624191 ← → #3624221

Radix Representation

Decimal	3624208
Binary	1101110100110100010000 (22 bits)
Octal	0o15646420
Hexadecimal	0x374D10

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 32,359 64,718 129,436 226,513 258,872 453,026 517,744 906,052 1,812,104 3,624,208

Collatz Trajectory (115 steps to reach 1)

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

3,624,208 1,812,104 906,052 453,026 226,513 679,540 339,770 169,885 509,656 254,828 127,414 63,707 191,122 95,561 286,684 143,342 71,671 215,014 107,507 322,522 161,261 483,784 241,892 120,946 60,473 181,420 90,710 45,355 136,066 68,033 204,100 102,050 51,025 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833

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