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Atlas › Integer Profiles › Node 8,780,751

8,780,751

33 × 72 × 6637
Deficient Odd Composite

8,780,751 factors as 3^3 × 7^2 × 6637. Its 24 positive divisors give a proper-divisor sum of 6,353,889, so this integer is deficient. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 3^3 × 7^2 × 6637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,134,640
Proper Divisor Sum 6,353,889
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8780749 ← → #8780773

Radix Representation

Decimal 8780751
Binary 100001011111101111001111 (24 bits)
Octal 0o41375717
Hexadecimal 0x85FBCF

Divisor Catalog (24)

1 3 7 9 21 27 49 63 147 189 441 1,323 6,637 19,911 46,459 59,733 139,377 179,199 325,213 418,131 975,639 1,254,393 2,926,917 8,780,751

Collatz Trajectory (336 steps to reach 1)

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

8,780,751 26,342,254 13,171,127 39,513,382 19,756,691 59,270,074 29,635,037 88,905,112 44,452,556 22,226,278 11,113,139 33,339,418 16,669,709 50,009,128 25,004,564 12,502,282 6,251,141 18,753,424 9,376,712 4,688,356 2,344,178 1,172,089 3,516,268 1,758,134 879,067 2,637,202 1,318,601 3,955,804 1,977,902 988,951 2,966,854 1,483,427 4,450,282 2,225,141 6,675,424 3,337,712 1,668,856 834,428 417,214 208,607 625,822 312,911 938,734 469,367 1,408,102 704,051 2,112,154 1,056,077 3,168,232 1,584,116 792,058 396,029 1,188,088 594,044 297,022 148,511 445,534 222,767 668,302 334,151

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