λ
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Atlas › Integer Profiles › Node 10,244,078

10,244,078

2 × 13 × 19 × 89 × 233
Deficient Even Composite

10,244,078 factors as 2 × 13 × 19 × 89 × 233. Its 32 positive divisors give a proper-divisor sum of 7,446,322, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 13 × 19 × 89 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,690,400
Proper Divisor Sum 7,446,322
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10244053 ← → #10244089

Radix Representation

Decimal 10244078
Binary 100111000100111111101110 (24 bits)
Octal 0o47047756
Hexadecimal 0x9C4FEE

Divisor Catalog (32)

1 2 13 19 26 38 89 178 233 247 466 494 1,157 1,691 2,314 3,029 3,382 4,427 6,058 8,854 20,737 21,983 41,474 43,966 57,551 115,102 269,581 394,003 539,162 788,006 5,122,039 10,244,078

Collatz Trajectory (114 steps to reach 1)

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

10,244,078 5,122,039 15,366,118 7,683,059 23,049,178 11,524,589 34,573,768 17,286,884 8,643,442 4,321,721 12,965,164 6,482,582 3,241,291 9,723,874 4,861,937 14,585,812 7,292,906 3,646,453 10,939,360 5,469,680 2,734,840 1,367,420 683,710 341,855 1,025,566 512,783 1,538,350 769,175 2,307,526 1,153,763 3,461,290 1,730,645 5,191,936 2,595,968 1,297,984 648,992 324,496 162,248 81,124 40,562 20,281 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805

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