λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,407,992

7,407,992

23 × 29 × 37 × 863
Deficient Even Composite

7,407,992 factors as 2^3 × 29 × 37 × 863. Its 32 positive divisors give a proper-divisor sum of 7,366,408, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 37 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,774,400
Proper Divisor Sum 7,366,408
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7407979 ← → #7408007

Radix Representation

Decimal 7407992
Binary 11100010000100101111000 (23 bits)
Octal 0o34204570
Hexadecimal 0x710978

Divisor Catalog (32)

1 2 4 8 29 37 58 74 116 148 232 296 863 1,073 1,726 2,146 3,452 4,292 6,904 8,584 25,027 31,931 50,054 63,862 100,108 127,724 200,216 255,448 925,999 1,851,998 3,703,996 7,407,992

Collatz Trajectory (85 steps to reach 1)

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

7,407,992 3,703,996 1,851,998 925,999 2,777,998 1,388,999 4,166,998 2,083,499 6,250,498 3,125,249 9,375,748 4,687,874 2,343,937 7,031,812 3,515,906 1,757,953 5,273,860 2,636,930 1,318,465 3,955,396 1,977,698 988,849 2,966,548 1,483,274 741,637 2,224,912 1,112,456 556,228 278,114 139,057 417,172 208,586 104,293 312,880 156,440 78,220 39,110 19,555 58,666 29,333 88,000 44,000 22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,407,991 Browse Full Index Next Integer #7,407,993 →