10,427,128

2³ × 439 × 2969

10,427,128 factors as 2^3 × 439 × 2969. Its 16 positive divisors give a proper-divisor sum of 9,174,872, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^3 × 439 × 2969

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,602,000

Proper Divisor Sum 9,174,872

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #10427107 ← → #10427141

Radix Representation

Decimal	10427128
Binary	100111110001101011111000 (24 bits)
Octal	0o47615370
Hexadecimal	0x9F1AF8

Divisor Catalog (16)

1 2 4 8 439 878 1,756 2,969 3,512 5,938 11,876 23,752 1,303,391 2,606,782 5,213,564 10,427,128

Collatz Trajectory (96 steps to reach 1)

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

10,427,128 5,213,564 2,606,782 1,303,391 3,910,174 1,955,087 5,865,262 2,932,631 8,797,894 4,398,947 13,196,842 6,598,421 19,795,264 9,897,632 4,948,816 2,474,408 1,237,204 618,602 309,301 927,904 463,952 231,976 115,988 57,994 28,997 86,992 43,496 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307

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