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Atlas › Integer Profiles › Node 7,488,012

7,488,012

22 × 3 × 7 × 97 × 919
Abundant Even Composite

7,488,012 factors as 2^2 × 3 × 7 × 97 × 919. Its 48 positive divisors give a proper-divisor sum of 12,707,828, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 97 × 919
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,195,840
Proper Divisor Sum 12,707,828
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7487989 ← → #7488017

Radix Representation

Decimal 7488012
Binary 11100100100001000001100 (23 bits)
Octal 0o34441014
Hexadecimal 0x72420C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 919 1,164 1,358 1,838 2,037 2,716 2,757 3,676 4,074 5,514 6,433 8,148 11,028 12,866 19,299 25,732 38,598 77,196 89,143 178,286 267,429 356,572 534,858 624,001 1,069,716 1,248,002 1,872,003 2,496,004 3,744,006 7,488,012

Collatz Trajectory (204 steps to reach 1)

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

7,488,012 3,744,006 1,872,003 5,616,010 2,808,005 8,424,016 4,212,008 2,106,004 1,053,002 526,501 1,579,504 789,752 394,876 197,438 98,719 296,158 148,079 444,238 222,119 666,358 333,179 999,538 499,769 1,499,308 749,654 374,827 1,124,482 562,241 1,686,724 843,362 421,681 1,265,044 632,522 316,261 948,784 474,392 237,196 118,598 59,299 177,898 88,949 266,848 133,424 66,712 33,356 16,678 8,339 25,018 12,509 37,528 18,764 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918

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