λ
Modular Archive

7,642,609

13 × 37 × 15889
Deficient Odd Composite

The decimal integer 7,642,609 is 11101001001110111110001 in binary (23 bits), 35116761 in octal and 749DF1 in hexadecimal. Its digit sum is 34.

Prime Factor Structure

Factorization String 13 × 37 × 15889
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,453,480
Proper Divisor Sum 810,871
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7642577 ← → #7642619

Radix Representation

Decimal 7642609
Binary 11101001001110111110001 (23 bits)
Octal 0o35116761
Hexadecimal 0x749DF1

Divisor Catalog (8)

1 13 37 481 15,889 206,557 587,893 7,642,609

Collatz Trajectory (129 steps to reach 1)

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

7,642,609 22,927,828 11,463,914 5,731,957 17,195,872 8,597,936 4,298,968 2,149,484 1,074,742 537,371 1,612,114 806,057 2,418,172 1,209,086 604,543 1,813,630 906,815 2,720,446 1,360,223 4,080,670 2,040,335 6,121,006 3,060,503 9,181,510 4,590,755 13,772,266 6,886,133 20,658,400 10,329,200 5,164,600 2,582,300 1,291,150 645,575 1,936,726 968,363 2,905,090 1,452,545 4,357,636 2,178,818 1,089,409 3,268,228 1,634,114 817,057 2,451,172 1,225,586 612,793 1,838,380 919,190 459,595 1,378,786 689,393 2,068,180 1,034,090 517,045 1,551,136 775,568 387,784 193,892 96,946 48,473

More profiles

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