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Atlas › Integer Profiles › Node 7,630,596

7,630,596

22 × 32 × 29 × 7309
Abundant Even Composite

7,630,596 factors as 2^2 × 3^2 × 29 × 7309. Its 36 positive divisors give a proper-divisor sum of 12,325,704, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 7309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,956,300
Proper Divisor Sum 12,325,704
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7630589 ← → #7630607

Radix Representation

Decimal 7630596
Binary 11101000110111100000100 (23 bits)
Octal 0o35067404
Hexadecimal 0x746F04

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1,044 7,309 14,618 21,927 29,236 43,854 65,781 87,708 131,562 211,961 263,124 423,922 635,883 847,844 1,271,766 1,907,649 2,543,532 3,815,298 7,630,596

Collatz Trajectory (129 steps to reach 1)

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

7,630,596 3,815,298 1,907,649 5,722,948 2,861,474 1,430,737 4,292,212 2,146,106 1,073,053 3,219,160 1,609,580 804,790 402,395 1,207,186 603,593 1,810,780 905,390 452,695 1,358,086 679,043 2,037,130 1,018,565 3,055,696 1,527,848 763,924 381,962 190,981 572,944 286,472 143,236 71,618 35,809 107,428 53,714 26,857 80,572 40,286 20,143 60,430 30,215 90,646 45,323 135,970 67,985 203,956 101,978 50,989 152,968 76,484 38,242 19,121 57,364 28,682 14,341 43,024 21,512 10,756 5,378 2,689 8,068

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