λ
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Atlas › Integer Profiles › Node 44,145,952

44,145,952

25 × 131 × 10531
Deficient Even Composite

44,145,952 factors as 2^5 × 131 × 10531. Its 24 positive divisors give a proper-divisor sum of 43,438,160, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^5 × 131 × 10531
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 87,584,112
Proper Divisor Sum 43,438,160
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #44145931 ← → #44145973

Radix Representation

Decimal 44145952
Binary 10101000011001110100100000 (26 bits)
Octal 0o250316440
Hexadecimal 0x2A19D20

Divisor Catalog (24)

1 2 4 8 16 32 131 262 524 1,048 2,096 4,192 10,531 21,062 42,124 84,248 168,496 336,992 1,379,561 2,759,122 5,518,244 11,036,488 22,072,976 44,145,952

Collatz Trajectory (142 steps to reach 1)

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

44,145,952 22,072,976 11,036,488 5,518,244 2,759,122 1,379,561 4,138,684 2,069,342 1,034,671 3,104,014 1,552,007 4,656,022 2,328,011 6,984,034 3,492,017 10,476,052 5,238,026 2,619,013 7,857,040 3,928,520 1,964,260 982,130 491,065 1,473,196 736,598 368,299 1,104,898 552,449 1,657,348 828,674 414,337 1,243,012 621,506 310,753 932,260 466,130 233,065 699,196 349,598 174,799 524,398 262,199 786,598 393,299 1,179,898 589,949 1,769,848 884,924 442,462 221,231 663,694 331,847 995,542 497,771 1,493,314 746,657 2,239,972 1,119,986 559,993 1,679,980

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