λ
Harmonic Matrix

6,181,929

32 × 13 × 52837
Deficient Odd Composite

6,181,929 has digital root 9. The neighboring primes are 6181921 and 6181933; its proper-divisor sum differs from the starting integer by -2,747,342.

Prime Factor Structure

Factorization String 3^2 × 13 × 52837
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,616,516
Proper Divisor Sum 3,434,587
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6181921 ← → #6181933

Radix Representation

Decimal 6181929
Binary 10111100101010000101001 (23 bits)
Octal 0o27452051
Hexadecimal 0x5E5429

Divisor Catalog (12)

1 3 9 13 39 117 52,837 158,511 475,533 686,881 2,060,643 6,181,929

Collatz Trajectory (196 steps to reach 1)

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

6,181,929 18,545,788 9,272,894 4,636,447 13,909,342 6,954,671 20,864,014 10,432,007 31,296,022 15,648,011 46,944,034 23,472,017 70,416,052 35,208,026 17,604,013 52,812,040 26,406,020 13,203,010 6,601,505 19,804,516 9,902,258 4,951,129 14,853,388 7,426,694 3,713,347 11,140,042 5,570,021 16,710,064 8,355,032 4,177,516 2,088,758 1,044,379 3,133,138 1,566,569 4,699,708 2,349,854 1,174,927 3,524,782 1,762,391 5,287,174 2,643,587 7,930,762 3,965,381 11,896,144 5,948,072 2,974,036 1,487,018 743,509 2,230,528 1,115,264 557,632 278,816 139,408 69,704 34,852 17,426 8,713 26,140 13,070 6,535

More profiles

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