λ
Harmonic Matrix

3,756,759

3 × 307 × 4079
Deficient Odd Composite

3,756,759 has digital root 6. The neighboring primes are 3756733 and 3756763; its proper-divisor sum differs from the starting integer by -2,486,958.

Prime Factor Structure

Factorization String 3 × 307 × 4079
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,026,560
Proper Divisor Sum 1,269,801
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3756733 ← → #3756763

Radix Representation

Decimal 3756759
Binary 1110010101001011010111 (22 bits)
Octal 0o16251327
Hexadecimal 0x3952D7

Divisor Catalog (8)

1 3 307 921 4,079 12,237 1,252,253 3,756,759

Collatz Trajectory (203 steps to reach 1)

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

3,756,759 11,270,278 5,635,139 16,905,418 8,452,709 25,358,128 12,679,064 6,339,532 3,169,766 1,584,883 4,754,650 2,377,325 7,131,976 3,565,988 1,782,994 891,497 2,674,492 1,337,246 668,623 2,005,870 1,002,935 3,008,806 1,504,403 4,513,210 2,256,605 6,769,816 3,384,908 1,692,454 846,227 2,538,682 1,269,341 3,808,024 1,904,012 952,006 476,003 1,428,010 714,005 2,142,016 1,071,008 535,504 267,752 133,876 66,938 33,469 100,408 50,204 25,102 12,551 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830

More profiles

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