λ
Harmonic Matrix

5,737,689

33 × 212507
Deficient Odd Composite

5,737,689 has digital root 9. The neighboring primes are 5737643 and 5737703; its proper-divisor sum differs from the starting integer by -2,975,058.

Prime Factor Structure

Factorization String 3^3 × 212507
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,500,320
Proper Divisor Sum 2,762,631
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5737643 ← → #5737703

Radix Representation

Decimal 5737689
Binary 10101111000110011011001 (23 bits)
Octal 0o25706331
Hexadecimal 0x578CD9

Divisor Catalog (8)

1 3 9 27 212,507 637,521 1,912,563 5,737,689

Collatz Trajectory (201 steps to reach 1)

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

5,737,689 17,213,068 8,606,534 4,303,267 12,909,802 6,454,901 19,364,704 9,682,352 4,841,176 2,420,588 1,210,294 605,147 1,815,442 907,721 2,723,164 1,361,582 680,791 2,042,374 1,021,187 3,063,562 1,531,781 4,595,344 2,297,672 1,148,836 574,418 287,209 861,628 430,814 215,407 646,222 323,111 969,334 484,667 1,454,002 727,001 2,181,004 1,090,502 545,251 1,635,754 817,877 2,453,632 1,226,816 613,408 306,704 153,352 76,676 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395

More profiles

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