24,972,760

2³ × 5 × 624319

24,972,760 factors as 2^3 × 5 × 624319. Its 16 positive divisors give a proper-divisor sum of 31,216,040, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 624319

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 56,188,800

Proper Divisor Sum 31,216,040

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #24972737 ← → #24972793

Radix Representation

Decimal	24972760
Binary	1011111010000110111011000 (25 bits)
Octal	0o137206730
Hexadecimal	0x17D0DD8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 624,319 1,248,638 2,497,276 3,121,595 4,994,552 6,243,190 12,486,380 24,972,760

Collatz Trajectory (136 steps to reach 1)

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

24,972,760 12,486,380 6,243,190 3,121,595 9,364,786 4,682,393 14,047,180 7,023,590 3,511,795 10,535,386 5,267,693 15,803,080 7,901,540 3,950,770 1,975,385 5,926,156 2,963,078 1,481,539 4,444,618 2,222,309 6,666,928 3,333,464 1,666,732 833,366 416,683 1,250,050 625,025 1,875,076 937,538 468,769 1,406,308 703,154 351,577 1,054,732 527,366 263,683 791,050 395,525 1,186,576 593,288 296,644 148,322 74,161 222,484 111,242 55,621 166,864 83,432 41,716 20,858 10,429 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #24,972,759 Browse Full Index Next Integer #24,972,761 →