λ
Harmonic Matrix

9,685,382

2 × 7 × 691813
Deficient Even Composite

9,685,382 has digital root 5. The neighboring primes are 9685349 and 9685387; its proper-divisor sum differs from the starting integer by -2,767,228.

Prime Factor Structure

Factorization String 2 × 7 × 691813
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,603,536
Proper Divisor Sum 6,918,154
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9685349 ← → #9685387

Radix Representation

Decimal 9685382
Binary 100100111100100110000110 (24 bits)
Octal 0o44744606
Hexadecimal 0x93C986

Divisor Catalog (8)

1 2 7 14 691,813 1,383,626 4,842,691 9,685,382

Collatz Trajectory (114 steps to reach 1)

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

9,685,382 4,842,691 14,528,074 7,264,037 21,792,112 10,896,056 5,448,028 2,724,014 1,362,007 4,086,022 2,043,011 6,129,034 3,064,517 9,193,552 4,596,776 2,298,388 1,149,194 574,597 1,723,792 861,896 430,948 215,474 107,737 323,212 161,606 80,803 242,410 121,205 363,616 181,808 90,904 45,452 22,726 11,363 34,090 17,045 51,136 25,568 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709

More profiles

← Previous Integer #9,685,381 Browse Full Index Next Integer #9,685,383 →