λ
Harmonic Matrix

709,611

3 × 7 × 33791
Deficient Odd Composite

709,611 has digital root 6. The neighboring primes are 709609 and 709649; its proper-divisor sum differs from the starting integer by -337,878.

Prime Factor Structure

Factorization String 3 × 7 × 33791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,081,344
Proper Divisor Sum 371,733
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #709609 ← → #709649

Radix Representation

Decimal 709611
Binary 10101101001111101011 (20 bits)
Octal 0o2551753
Hexadecimal 0xAD3EB

Divisor Catalog (8)

1 3 7 21 33,791 101,373 236,537 709,611

Collatz Trajectory (97 steps to reach 1)

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

709,611 2,128,834 1,064,417 3,193,252 1,596,626 798,313 2,394,940 1,197,470 598,735 1,796,206 898,103 2,694,310 1,347,155 4,041,466 2,020,733 6,062,200 3,031,100 1,515,550 757,775 2,273,326 1,136,663 3,409,990 1,704,995 5,114,986 2,557,493 7,672,480 3,836,240 1,918,120 959,060 479,530 239,765 719,296 359,648 179,824 89,912 44,956 22,478 11,239 33,718 16,859 50,578 25,289 75,868 37,934 18,967 56,902 28,451 85,354 42,677 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502

More profiles

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