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Atlas › Integer Profiles › Node 76,851,159

76,851,159

3 × 72 × 11 × 47527
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 47527
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 130,036,608
Proper Divisor Sum 53,185,449
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #76851149 ← → #76851163

Radix Representation

Decimal 76851159
Binary 100100101001010011111010111 (27 bits)
Octal 0o445123727
Hexadecimal 0x494A7D7

Divisor Catalog (24)

1 3 7 11 21 33 49 77 147 231 539 1,617 47,527 142,581 332,689 522,797 998,067 1,568,391 2,328,823 3,659,579 6,986,469 10,978,737 25,617,053 76,851,159

Collatz Trajectory (233 steps to reach 1)

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

76,851,159 230,553,478 115,276,739 345,830,218 172,915,109 518,745,328 259,372,664 129,686,332 64,843,166 32,421,583 97,264,750 48,632,375 145,897,126 72,948,563 218,845,690 109,422,845 328,268,536 164,134,268 82,067,134 41,033,567 123,100,702 61,550,351 184,651,054 92,325,527 276,976,582 138,488,291 415,464,874 207,732,437 623,197,312 311,598,656 155,799,328 77,899,664 38,949,832 19,474,916 9,737,458 4,868,729 14,606,188 7,303,094 3,651,547 10,954,642 5,477,321 16,431,964 8,215,982 4,107,991 12,323,974 6,161,987 18,485,962 9,242,981 27,728,944 13,864,472 6,932,236 3,466,118 1,733,059 5,199,178 2,599,589 7,798,768 3,899,384 1,949,692 974,846 487,423

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