λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,597,648

4,597,648

24 × 11 × 151 × 173
Abundant Even Composite

4,597,648 factors as 2^4 × 11 × 151 × 173. Its 40 positive divisors give a proper-divisor sum of 5,241,008, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 151 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,838,656
Proper Divisor Sum 5,241,008
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #4597609 ← → #4597669

Radix Representation

Decimal 4597648
Binary 10001100010011110010000 (23 bits)
Octal 0o21423620
Hexadecimal 0x462790

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 151 173 176 302 346 604 692 1,208 1,384 1,661 1,903 2,416 2,768 3,322 3,806 6,644 7,612 13,288 15,224 26,123 26,576 30,448 52,246 104,492 208,984 287,353 417,968 574,706 1,149,412 2,298,824 4,597,648

Collatz Trajectory (224 steps to reach 1)

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

4,597,648 2,298,824 1,149,412 574,706 287,353 862,060 431,030 215,515 646,546 323,273 969,820 484,910 242,455 727,366 363,683 1,091,050 545,525 1,636,576 818,288 409,144 204,572 102,286 51,143 153,430 76,715 230,146 115,073 345,220 172,610 86,305 258,916 129,458 64,729 194,188 97,094 48,547 145,642 72,821 218,464 109,232 54,616 27,308 13,654 6,827 20,482 10,241 30,724 15,362 7,681 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,597,647 Browse Full Index Next Integer #4,597,649 →