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Atlas › Integer Profiles › Node 7,092,008

7,092,008

23 × 7 × 11 × 29 × 397
Abundant Even Composite

7,092,008 factors as 2^3 × 7 × 11 × 29 × 397. Its 64 positive divisors give a proper-divisor sum of 10,101,592, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 29 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,193,600
Proper Divisor Sum 10,101,592
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7091999 ← → #7092047

Radix Representation

Decimal 7092008
Binary 11011000011011100101000 (23 bits)
Octal 0o33033450
Hexadecimal 0x6C3728

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 397 406 616 638 794 812 1,276 1,588 1,624 2,233 2,552 2,779 3,176 4,367 4,466 5,558 8,734 8,932 11,116 11,513 17,468 17,864 22,232 23,026 30,569 34,936 46,052 61,138 80,591 92,104 122,276 126,643 161,182 244,552 253,286 322,364 506,572 644,728 886,501

Collatz Trajectory (85 steps to reach 1)

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

7,092,008 3,546,004 1,773,002 886,501 2,659,504 1,329,752 664,876 332,438 166,219 498,658 249,329 747,988 373,994 186,997 560,992 280,496 140,248 70,124 35,062 17,531 52,594 26,297 78,892 39,446 19,723 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504

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