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Atlas › Integer Profiles › Node 7,656,285

7,656,285

3 × 5 × 7 × 13 × 71 × 79
Abundant Odd Composite

7,656,285 factors as 3 × 5 × 7 × 13 × 71 × 79. Its 64 positive divisors give a proper-divisor sum of 7,826,595, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 71 × 79
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,482,880
Proper Divisor Sum 7,826,595
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7656281 ← → #7656301

Radix Representation

Decimal 7656285
Binary 11101001101001101011101 (23 bits)
Octal 0o35151535
Hexadecimal 0x74D35D

Divisor Catalog (60 of 64)

1 3 5 7 13 15 21 35 39 65 71 79 91 105 195 213 237 273 355 395 455 497 553 923 1,027 1,065 1,185 1,365 1,491 1,659 2,485 2,765 2,769 3,081 4,615 5,135 5,609 6,461 7,189 7,455 8,295 13,845 15,405 16,827 19,383 21,567 28,045 32,305 35,945 39,263 72,917 84,135 96,915 107,835 117,789 196,315 218,751 364,585 510,419 588,945

Collatz Trajectory (217 steps to reach 1)

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

7,656,285 22,968,856 11,484,428 5,742,214 2,871,107 8,613,322 4,306,661 12,919,984 6,459,992 3,229,996 1,614,998 807,499 2,422,498 1,211,249 3,633,748 1,816,874 908,437 2,725,312 1,362,656 681,328 340,664 170,332 85,166 42,583 127,750 63,875 191,626 95,813 287,440 143,720 71,860 35,930 17,965 53,896 26,948 13,474 6,737 20,212 10,106 5,053 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598

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