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Atlas › Integer Profiles › Node 10,380,629

10,380,629

7 × 31 × 47837
Deficient Odd Composite

10,380,629 factors as 7 × 31 × 47837. Its 8 positive divisors give a proper-divisor sum of 1,865,899, so this integer is deficient. The Collatz stopping time is 44 steps.

Prime Factor Structure

Factorization String 7 × 31 × 47837
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,246,528
Proper Divisor Sum 1,865,899
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #10380619 ← → #10380641

Radix Representation

Decimal 10380629
Binary 100111100110010101010101 (24 bits)
Octal 0o47462525
Hexadecimal 0x9E6555

Divisor Catalog (8)

1 7 31 217 47,837 334,859 1,482,947 10,380,629

Collatz Trajectory (44 steps to reach 1)

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

10,380,629 31,141,888 15,570,944 7,785,472 3,892,736 1,946,368 973,184 486,592 243,296 121,648 60,824 30,412 15,206 7,603 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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