λ
Modular Archive

747,740

22 × 5 × 73 × 109
Abundant Even Composite

The decimal integer 747,740 is 10110110100011011100 in binary (20 bits), 2664334 in octal and B68DC in hexadecimal. Its digit sum is 29.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^3 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,848,000
Proper Divisor Sum 1,100,260
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #747737 ← → #747743

Radix Representation

Decimal 747740
Binary 10110110100011011100 (20 bits)
Octal 0o2664334
Hexadecimal 0xB68DC

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 49 70 98 109 140 196 218 245 343 436 490 545 686 763 980 1,090 1,372 1,526 1,715 2,180 3,052 3,430 3,815 5,341 6,860 7,630 10,682 15,260 21,364 26,705 37,387 53,410 74,774 106,820 149,548 186,935 373,870 747,740

Collatz Trajectory (224 steps to reach 1)

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

747,740 373,870 186,935 560,806 280,403 841,210 420,605 1,261,816 630,908 315,454 157,727 473,182 236,591 709,774 354,887 1,064,662 532,331 1,596,994 798,497 2,395,492 1,197,746 598,873 1,796,620 898,310 449,155 1,347,466 673,733 2,021,200 1,010,600 505,300 252,650 126,325 378,976 189,488 94,744 47,372 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750

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