λ
Prime Ledger

2,912,788

22 × 37 × 19681
Deficient Even Composite

2,912,788 has the prime decomposition 2^2 × 37 × 19681. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 19681
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,235,412
Proper Divisor Sum 2,322,624
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2912783 ← → #2912803

Radix Representation

Decimal 2912788
Binary 1011000111001000010100 (22 bits)
Octal 0o13071024
Hexadecimal 0x2C7214

Divisor Catalog (12)

1 2 4 37 74 148 19,681 39,362 78,724 728,197 1,456,394 2,912,788

Collatz Trajectory (89 steps to reach 1)

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

2,912,788 1,456,394 728,197 2,184,592 1,092,296 546,148 273,074 136,537 409,612 204,806 102,403 307,210 153,605 460,816 230,408 115,204 57,602 28,801 86,404 43,202 21,601 64,804 32,402 16,201 48,604 24,302 12,151 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86

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