λ
Modular Archive

7,713,009

33 × 285667
Deficient Odd Composite

The decimal integer 7,713,009 is 11101011011000011110001 in binary (23 bits), 35330361 in octal and 75B0F1 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^3 × 285667
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,426,720
Proper Divisor Sum 3,713,711
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7712989 ← → #7713047

Radix Representation

Decimal 7713009
Binary 11101011011000011110001 (23 bits)
Octal 0o35330361
Hexadecimal 0x75B0F1

Divisor Catalog (8)

1 3 9 27 285,667 857,001 2,571,003 7,713,009

Collatz Trajectory (72 steps to reach 1)

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

7,713,009 23,139,028 11,569,514 5,784,757 17,354,272 8,677,136 4,338,568 2,169,284 1,084,642 542,321 1,626,964 813,482 406,741 1,220,224 610,112 305,056 152,528 76,264 38,132 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227

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