λ
Prime Ledger

2,312,588

22 × 47 × 12301
Deficient Even Composite

2,312,588 has the prime decomposition 2^2 × 47 × 12301. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 47 × 12301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,133,472
Proper Divisor Sum 1,820,884
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2312573 ← → #2312603

Radix Representation

Decimal 2312588
Binary 1000110100100110001100 (22 bits)
Octal 0o10644614
Hexadecimal 0x23498C

Divisor Catalog (12)

1 2 4 47 94 188 12,301 24,602 49,204 578,147 1,156,294 2,312,588

Collatz Trajectory (148 steps to reach 1)

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

2,312,588 1,156,294 578,147 1,734,442 867,221 2,601,664 1,300,832 650,416 325,208 162,604 81,302 40,651 121,954 60,977 182,932 91,466 45,733 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412

More profiles

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