λ
Harmonic Matrix

7,611,796

22 × 179 × 10631
Deficient Even Composite

7,611,796 has digital root 1. The neighboring primes are 7611787 and 7611809; its proper-divisor sum differs from the starting integer by -1,827,272.

Prime Factor Structure

Factorization String 2^2 × 179 × 10631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,396,320
Proper Divisor Sum 5,784,524
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7611787 ← → #7611809

Radix Representation

Decimal 7611796
Binary 11101000010010110010100 (23 bits)
Octal 0o35022624
Hexadecimal 0x742594

Divisor Catalog (12)

1 2 4 179 358 716 10,631 21,262 42,524 1,902,949 3,805,898 7,611,796

Collatz Trajectory (103 steps to reach 1)

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

7,611,796 3,805,898 1,902,949 5,708,848 2,854,424 1,427,212 713,606 356,803 1,070,410 535,205 1,605,616 802,808 401,404 200,702 100,351 301,054 150,527 451,582 225,791 677,374 338,687 1,016,062 508,031 1,524,094 762,047 2,286,142 1,143,071 3,429,214 1,714,607 5,143,822 2,571,911 7,715,734 3,857,867 11,573,602 5,786,801 17,360,404 8,680,202 4,340,101 13,020,304 6,510,152 3,255,076 1,627,538 813,769 2,441,308 1,220,654 610,327 1,830,982 915,491 2,746,474 1,373,237 4,119,712 2,059,856 1,029,928 514,964 257,482 128,741 386,224 193,112 96,556 48,278

More profiles

← Previous Integer #7,611,795 Browse Full Index Next Integer #7,611,797 →