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Atlas › Integer Profiles › Node 3,100,713

3,100,713

3 × 7 × 11 × 31 × 433
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 31 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,332,992
Proper Divisor Sum 2,232,279
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3100703 ← → #3100733

Radix Representation

Decimal 3100713
Binary 1011110101000000101001 (22 bits)
Octal 0o13650051
Hexadecimal 0x2F5029

Divisor Catalog (32)

1 3 7 11 21 31 33 77 93 217 231 341 433 651 1,023 1,299 2,387 3,031 4,763 7,161 9,093 13,423 14,289 33,341 40,269 93,961 100,023 147,653 281,883 442,959 1,033,571 3,100,713

Collatz Trajectory (164 steps to reach 1)

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

3,100,713 9,302,140 4,651,070 2,325,535 6,976,606 3,488,303 10,464,910 5,232,455 15,697,366 7,848,683 23,546,050 11,773,025 35,319,076 17,659,538 8,829,769 26,489,308 13,244,654 6,622,327 19,866,982 9,933,491 29,800,474 14,900,237 44,700,712 22,350,356 11,175,178 5,587,589 16,762,768 8,381,384 4,190,692 2,095,346 1,047,673 3,143,020 1,571,510 785,755 2,357,266 1,178,633 3,535,900 1,767,950 883,975 2,651,926 1,325,963 3,977,890 1,988,945 5,966,836 2,983,418 1,491,709 4,475,128 2,237,564 1,118,782 559,391 1,678,174 839,087 2,517,262 1,258,631 3,775,894 1,887,947 5,663,842 2,831,921 8,495,764 4,247,882

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