λ
Prime Ledger

3,090,591

32 × 7 × 49057
Deficient Odd Composite

3,090,591 has the prime decomposition 3^2 × 7 × 49057. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 49057
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,102,032
Proper Divisor Sum 2,011,441
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3090587 ← → #3090599

Radix Representation

Decimal 3090591
Binary 1011110010100010011111 (22 bits)
Octal 0o13624237
Hexadecimal 0x2F289F

Divisor Catalog (12)

1 3 7 9 21 63 49,057 147,171 343,399 441,513 1,030,197 3,090,591

Collatz Trajectory (208 steps to reach 1)

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

3,090,591 9,271,774 4,635,887 13,907,662 6,953,831 20,861,494 10,430,747 31,292,242 15,646,121 46,938,364 23,469,182 11,734,591 35,203,774 17,601,887 52,805,662 26,402,831 79,208,494 39,604,247 118,812,742 59,406,371 178,219,114 89,109,557 267,328,672 133,664,336 66,832,168 33,416,084 16,708,042 8,354,021 25,062,064 12,531,032 6,265,516 3,132,758 1,566,379 4,699,138 2,349,569 7,048,708 3,524,354 1,762,177 5,286,532 2,643,266 1,321,633 3,964,900 1,982,450 991,225 2,973,676 1,486,838 743,419 2,230,258 1,115,129 3,345,388 1,672,694 836,347 2,509,042 1,254,521 3,763,564 1,881,782 940,891 2,822,674 1,411,337 4,234,012

More profiles

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