λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,377,760

44,377,760

25 × 5 × 7 × 39623
Abundant Even Composite

44,377,760 factors as 2^5 × 5 × 7 × 39623. Its 48 positive divisors give a proper-divisor sum of 75,445,216, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 39623
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 119,822,976
Proper Divisor Sum 75,445,216
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #44377733 ← → #44377783

Radix Representation

Decimal 44377760
Binary 10101001010010011010100000 (26 bits)
Octal 0o251223240
Hexadecimal 0x2A526A0

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1,120 39,623 79,246 158,492 198,115 277,361 316,984 396,230 554,722 633,968 792,460 1,109,444 1,267,936 1,386,805 1,584,920 2,218,888 2,773,610 3,169,840 4,437,776 5,547,220 6,339,680 8,875,552 11,094,440 22,188,880 44,377,760

Collatz Trajectory (111 steps to reach 1)

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

44,377,760 22,188,880 11,094,440 5,547,220 2,773,610 1,386,805 4,160,416 2,080,208 1,040,104 520,052 260,026 130,013 390,040 195,020 97,510 48,755 146,266 73,133 219,400 109,700 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #44,377,759 Browse Full Index Next Integer #44,377,761 →