λ
Modular Archive

7,746,045

3 × 5 × 29 × 17807
Deficient Odd Composite

The decimal integer 7,746,045 is 11101100011000111111101 in binary (23 bits), 35430775 in octal and 7631FD in hexadecimal. Its digit sum is 33.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 17807
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,821,760
Proper Divisor Sum 5,075,715
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7746031 ← → #7746047

Radix Representation

Decimal 7746045
Binary 11101100011000111111101 (23 bits)
Octal 0o35430775
Hexadecimal 0x7631FD

Divisor Catalog (16)

1 3 5 15 29 87 145 435 17,807 53,421 89,035 267,105 516,403 1,549,209 2,582,015 7,746,045

Collatz Trajectory (124 steps to reach 1)

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

7,746,045 23,238,136 11,619,068 5,809,534 2,904,767 8,714,302 4,357,151 13,071,454 6,535,727 19,607,182 9,803,591 29,410,774 14,705,387 44,116,162 22,058,081 66,174,244 33,087,122 16,543,561 49,630,684 24,815,342 12,407,671 37,223,014 18,611,507 55,834,522 27,917,261 83,751,784 41,875,892 20,937,946 10,468,973 31,406,920 15,703,460 7,851,730 3,925,865 11,777,596 5,888,798 2,944,399 8,833,198 4,416,599 13,249,798 6,624,899 19,874,698 9,937,349 29,812,048 14,906,024 7,453,012 3,726,506 1,863,253 5,589,760 2,794,880 1,397,440 698,720 349,360 174,680 87,340 43,670 21,835 65,506 32,753 98,260 49,130

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