λ
Integer Codex

607,100

22 × 52 × 13 × 467
Abundant Even Composite

For 607,100, the 36 positive divisors have a total of 1,421,784. Removing 607,100 leaves 814,684, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,421,784
Proper Divisor Sum 814,684
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #607097 ← → #607109

Radix Representation

Decimal 607100
Binary 10010100001101111100 (20 bits)
Octal 0o2241574
Hexadecimal 0x9437C

Divisor Catalog (36)

1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 467 650 934 1,300 1,868 2,335 4,670 6,071 9,340 11,675 12,142 23,350 24,284 30,355 46,700 60,710 121,420 151,775 303,550 607,100

Collatz Trajectory (203 steps to reach 1)

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

607,100 303,550 151,775 455,326 227,663 682,990 341,495 1,024,486 512,243 1,536,730 768,365 2,305,096 1,152,548 576,274 288,137 864,412 432,206 216,103 648,310 324,155 972,466 486,233 1,458,700 729,350 364,675 1,094,026 547,013 1,641,040 820,520 410,260 205,130 102,565 307,696 153,848 76,924 38,462 19,231 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105

More profiles

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