λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,704,576

9,704,576

27 × 7 × 10831
Abundant Even Composite

9,704,576 factors as 2^7 × 7 × 10831. Its 32 positive divisors give a proper-divisor sum of 12,392,704, so this integer is abundant. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2^7 × 7 × 10831
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,097,280
Proper Divisor Sum 12,392,704
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9704567 ← → #9704593

Radix Representation

Decimal 9704576
Binary 100101000001010010000000 (24 bits)
Octal 0o45012200
Hexadecimal 0x941480

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 10,831 21,662 43,324 75,817 86,648 151,634 173,296 303,268 346,592 606,536 693,184 1,213,072 1,386,368 2,426,144 4,852,288 9,704,576

Collatz Trajectory (300 steps to reach 1)

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

9,704,576 4,852,288 2,426,144 1,213,072 606,536 303,268 151,634 75,817 227,452 113,726 56,863 170,590 85,295 255,886 127,943 383,830 191,915 575,746 287,873 863,620 431,810 215,905 647,716 323,858 161,929 485,788 242,894 121,447 364,342 182,171 546,514 273,257 819,772 409,886 204,943 614,830 307,415 922,246 461,123 1,383,370 691,685 2,075,056 1,037,528 518,764 259,382 129,691 389,074 194,537 583,612 291,806 145,903 437,710 218,855 656,566 328,283 984,850 492,425 1,477,276 738,638 369,319

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,704,575 Browse Full Index Next Integer #9,704,577 →