λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,976,375

8,976,375

32 × 53 × 79 × 101
Deficient Odd Composite

8,976,375 factors as 3^2 × 5^3 × 79 × 101. Its 48 positive divisors give a proper-divisor sum of 7,572,105, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 79 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,548,480
Proper Divisor Sum 7,572,105
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8976361 ← → #8976397

Radix Representation

Decimal 8976375
Binary 100010001111011111110111 (24 bits)
Octal 0o42173767
Hexadecimal 0x88F7F7

Divisor Catalog (48)

1 3 5 9 15 25 45 75 79 101 125 225 237 303 375 395 505 711 909 1,125 1,185 1,515 1,975 2,525 3,555 4,545 5,925 7,575 7,979 9,875 12,625 17,775 22,725 23,937 29,625 37,875 39,895 71,811 88,875 113,625 119,685 199,475 359,055 598,425 997,375 1,795,275 2,992,125 8,976,375

Collatz Trajectory (137 steps to reach 1)

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

8,976,375 26,929,126 13,464,563 40,393,690 20,196,845 60,590,536 30,295,268 15,147,634 7,573,817 22,721,452 11,360,726 5,680,363 17,041,090 8,520,545 25,561,636 12,780,818 6,390,409 19,171,228 9,585,614 4,792,807 14,378,422 7,189,211 21,567,634 10,783,817 32,351,452 16,175,726 8,087,863 24,263,590 12,131,795 36,395,386 18,197,693 54,593,080 27,296,540 13,648,270 6,824,135 20,472,406 10,236,203 30,708,610 15,354,305 46,062,916 23,031,458 11,515,729 34,547,188 17,273,594 8,636,797 25,910,392 12,955,196 6,477,598 3,238,799 9,716,398 4,858,199 14,574,598 7,287,299 21,861,898 10,930,949 32,792,848 16,396,424 8,198,212 4,099,106 2,049,553

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,976,374 Browse Full Index Next Integer #8,976,376 →