λ
Prime Ledger

7,355,091

3 × 31 × 79087
Deficient Odd Composite

7,355,091 has the prime decomposition 3 × 31 × 79087. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 79087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,123,264
Proper Divisor Sum 2,768,173
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7355039 ← → #7355093

Radix Representation

Decimal 7355091
Binary 11100000011101011010011 (23 bits)
Octal 0o34035323
Hexadecimal 0x703AD3

Divisor Catalog (8)

1 3 31 93 79,087 237,261 2,451,697 7,355,091

Collatz Trajectory (279 steps to reach 1)

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

7,355,091 22,065,274 11,032,637 33,097,912 16,548,956 8,274,478 4,137,239 12,411,718 6,205,859 18,617,578 9,308,789 27,926,368 13,963,184 6,981,592 3,490,796 1,745,398 872,699 2,618,098 1,309,049 3,927,148 1,963,574 981,787 2,945,362 1,472,681 4,418,044 2,209,022 1,104,511 3,313,534 1,656,767 4,970,302 2,485,151 7,455,454 3,727,727 11,183,182 5,591,591 16,774,774 8,387,387 25,162,162 12,581,081 37,743,244 18,871,622 9,435,811 28,307,434 14,153,717 42,461,152 21,230,576 10,615,288 5,307,644 2,653,822 1,326,911 3,980,734 1,990,367 5,971,102 2,985,551 8,956,654 4,478,327 13,434,982 6,717,491 20,152,474 10,076,237

More profiles

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