λ
Harmonic Matrix

5,331,772

22 × 379 × 3517
Deficient Even Composite

5,331,772 has digital root 1. The neighboring primes are 5331751 and 5331773; its proper-divisor sum differs from the starting integer by -1,305,664.

Prime Factor Structure

Factorization String 2^2 × 379 × 3517
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,357,880
Proper Divisor Sum 4,026,108
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5331751 ← → #5331773

Radix Representation

Decimal 5331772
Binary 10100010101101100111100 (23 bits)
Octal 0o24255474
Hexadecimal 0x515B3C

Divisor Catalog (12)

1 2 4 379 758 1,516 3,517 7,034 14,068 1,332,943 2,665,886 5,331,772

Collatz Trajectory (118 steps to reach 1)

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

5,331,772 2,665,886 1,332,943 3,998,830 1,999,415 5,998,246 2,999,123 8,997,370 4,498,685 13,496,056 6,748,028 3,374,014 1,687,007 5,061,022 2,530,511 7,591,534 3,795,767 11,387,302 5,693,651 17,080,954 8,540,477 25,621,432 12,810,716 6,405,358 3,202,679 9,608,038 4,804,019 14,412,058 7,206,029 21,618,088 10,809,044 5,404,522 2,702,261 8,106,784 4,053,392 2,026,696 1,013,348 506,674 253,337 760,012 380,006 190,003 570,010 285,005 855,016 427,508 213,754 106,877 320,632 160,316 80,158 40,079 120,238 60,119 180,358 90,179 270,538 135,269 405,808 202,904

More profiles

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