λ
Integer Codex

7,729,739

89 × 86851
Deficient Odd Composite

For 7,729,739, the 4 positive divisors have a total of 7,816,680. Removing 7,729,739 leaves 86,941, which gives the deficient classification.

Prime Factor Structure

Factorization String 89 × 86851
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,816,680
Proper Divisor Sum 86,941
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7729721 ← → #7729753

Radix Representation

Decimal 7729739
Binary 11101011111001001001011 (23 bits)
Octal 0o35371113
Hexadecimal 0x75F24B

Divisor Catalog (4)

1 89 86,851 7,729,739

Collatz Trajectory (124 steps to reach 1)

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

7,729,739 23,189,218 11,594,609 34,783,828 17,391,914 8,695,957 26,087,872 13,043,936 6,521,968 3,260,984 1,630,492 815,246 407,623 1,222,870 611,435 1,834,306 917,153 2,751,460 1,375,730 687,865 2,063,596 1,031,798 515,899 1,547,698 773,849 2,321,548 1,160,774 580,387 1,741,162 870,581 2,611,744 1,305,872 652,936 326,468 163,234 81,617 244,852 122,426 61,213 183,640 91,820 45,910 22,955 68,866 34,433 103,300 51,650 25,825 77,476 38,738 19,369 58,108 29,054 14,527 43,582 21,791 65,374 32,687 98,062 49,031

More profiles

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