λ
Harmonic Matrix

7,761,637

13 × 597049
Deficient Odd Composite

7,761,637 has digital root 1. The neighboring primes are 7761617 and 7761643; its proper-divisor sum differs from the starting integer by -7,164,574.

Prime Factor Structure

Factorization String 13 × 597049
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,358,700
Proper Divisor Sum 597,063
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7761617 ← → #7761643

Radix Representation

Decimal 7761637
Binary 11101100110111011100101 (23 bits)
Octal 0o35467345
Hexadecimal 0x766EE5

Divisor Catalog (4)

1 13 597,049 7,761,637

Collatz Trajectory (217 steps to reach 1)

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

7,761,637 23,284,912 11,642,456 5,821,228 2,910,614 1,455,307 4,365,922 2,182,961 6,548,884 3,274,442 1,637,221 4,911,664 2,455,832 1,227,916 613,958 306,979 920,938 460,469 1,381,408 690,704 345,352 172,676 86,338 43,169 129,508 64,754 32,377 97,132 48,566 24,283 72,850 36,425 109,276 54,638 27,319 81,958 40,979 122,938 61,469 184,408 92,204 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207

More profiles

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