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Atlas › Integer Profiles › Node 7,634,070

7,634,070

2 × 32 × 5 × 271 × 313
Abundant Even Composite

7,634,070 factors as 2 × 3^2 × 5 × 271 × 313. Its 48 positive divisors give a proper-divisor sum of 12,351,402, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 271 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,985,472
Proper Divisor Sum 12,351,402
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7634057 ← → #7634083

Radix Representation

Decimal 7634070
Binary 11101000111110010010110 (23 bits)
Octal 0o35076226
Hexadecimal 0x747C96

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 271 313 542 626 813 939 1,355 1,565 1,626 1,878 2,439 2,710 2,817 3,130 4,065 4,695 4,878 5,634 8,130 9,390 12,195 14,085 24,390 28,170 84,823 169,646 254,469 424,115 508,938 763,407 848,230 1,272,345 1,526,814 2,544,690 3,817,035 7,634,070

Collatz Trajectory (124 steps to reach 1)

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

7,634,070 3,817,035 11,451,106 5,725,553 17,176,660 8,588,330 4,294,165 12,882,496 6,441,248 3,220,624 1,610,312 805,156 402,578 201,289 603,868 301,934 150,967 452,902 226,451 679,354 339,677 1,019,032 509,516 254,758 127,379 382,138 191,069 573,208 286,604 143,302 71,651 214,954 107,477 322,432 161,216 80,608 40,304 20,152 10,076 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080

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