λ
Prime Ledger

7,762,101

3 × 107 × 24181
Deficient Odd Composite

7,762,101 has the prime decomposition 3 × 107 × 24181. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 107 × 24181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,446,624
Proper Divisor Sum 2,684,523
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7762093 ← → #7762103

Radix Representation

Decimal 7762101
Binary 11101100111000010110101 (23 bits)
Octal 0o35470265
Hexadecimal 0x7670B5

Divisor Catalog (8)

1 3 107 321 24,181 72,543 2,587,367 7,762,101

Collatz Trajectory (124 steps to reach 1)

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

7,762,101 23,286,304 11,643,152 5,821,576 2,910,788 1,455,394 727,697 2,183,092 1,091,546 545,773 1,637,320 818,660 409,330 204,665 613,996 306,998 153,499 460,498 230,249 690,748 345,374 172,687 518,062 259,031 777,094 388,547 1,165,642 582,821 1,748,464 874,232 437,116 218,558 109,279 327,838 163,919 491,758 245,879 737,638 368,819 1,106,458 553,229 1,659,688 829,844 414,922 207,461 622,384 311,192 155,596 77,798 38,899 116,698 58,349 175,048 87,524 43,762 21,881 65,644 32,822 16,411 49,234

More profiles

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