λ
Harmonic Matrix

7,596,130

2 × 5 × 271 × 2803
Deficient Even Composite

7,596,130 has digital root 4. The neighboring primes are 7596107 and 7596139; its proper-divisor sum differs from the starting integer by -1,463,876.

Prime Factor Structure

Factorization String 2 × 5 × 271 × 2803
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,728,384
Proper Divisor Sum 6,132,254
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7596107 ← → #7596139

Radix Representation

Decimal 7596130
Binary 11100111110100001100010 (23 bits)
Octal 0o34764142
Hexadecimal 0x73E862

Divisor Catalog (16)

1 2 5 10 271 542 1,355 2,710 2,803 5,606 14,015 28,030 759,613 1,519,226 3,798,065 7,596,130

Collatz Trajectory (80 steps to reach 1)

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

7,596,130 3,798,065 11,394,196 5,697,098 2,848,549 8,545,648 4,272,824 2,136,412 1,068,206 534,103 1,602,310 801,155 2,403,466 1,201,733 3,605,200 1,802,600 901,300 450,650 225,325 675,976 337,988 168,994 84,497 253,492 126,746 63,373 190,120 95,060 47,530 23,765 71,296 35,648 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

More profiles

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