λ
Harmonic Matrix

5,696,937

32 × 632993
Deficient Odd Composite

5,696,937 has digital root 9. The neighboring primes are 5696923 and 5696953; its proper-divisor sum differs from the starting integer by -3,164,952.

Prime Factor Structure

Factorization String 3^2 × 632993
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,228,922
Proper Divisor Sum 2,531,985
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5696923 ← → #5696953

Radix Representation

Decimal 5696937
Binary 10101101110110110101001 (23 bits)
Octal 0o25566651
Hexadecimal 0x56EDA9

Divisor Catalog (6)

1 3 9 632,993 1,898,979 5,696,937

Collatz Trajectory (201 steps to reach 1)

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

5,696,937 17,090,812 8,545,406 4,272,703 12,818,110 6,409,055 19,227,166 9,613,583 28,840,750 14,420,375 43,261,126 21,630,563 64,891,690 32,445,845 97,337,536 48,668,768 24,334,384 12,167,192 6,083,596 3,041,798 1,520,899 4,562,698 2,281,349 6,844,048 3,422,024 1,711,012 855,506 427,753 1,283,260 641,630 320,815 962,446 481,223 1,443,670 721,835 2,165,506 1,082,753 3,248,260 1,624,130 812,065 2,436,196 1,218,098 609,049 1,827,148 913,574 456,787 1,370,362 685,181 2,055,544 1,027,772 513,886 256,943 770,830 385,415 1,156,246 578,123 1,734,370 867,185 2,601,556 1,300,778

More profiles

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