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78,630,304

25 × 17 × 144541
Abundant Even Composite

78,630,304 factors as 2^5 × 17 × 144541. Its 24 positive divisors give a proper-divisor sum of 85,280,324, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 144541
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 163,910,628
Proper Divisor Sum 85,280,324
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #78630301 ← → #78630313

Radix Representation

Decimal 78630304
Binary 100101011111100110110100000 (27 bits)
Octal 0o453746640
Hexadecimal 0x4AFCDA0

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 144,541 289,082 578,164 1,156,328 2,312,656 2,457,197 4,625,312 4,914,394 9,828,788 19,657,576 39,315,152 78,630,304

Collatz Trajectory (210 steps to reach 1)

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

78,630,304 39,315,152 19,657,576 9,828,788 4,914,394 2,457,197 7,371,592 3,685,796 1,842,898 921,449 2,764,348 1,382,174 691,087 2,073,262 1,036,631 3,109,894 1,554,947 4,664,842 2,332,421 6,997,264 3,498,632 1,749,316 874,658 437,329 1,311,988 655,994 327,997 983,992 491,996 245,998 122,999 368,998 184,499 553,498 276,749 830,248 415,124 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858

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