λ
Prime Ledger

2,526,938

2 × 43 × 29383
Deficient Even Composite

2,526,938 has the prime decomposition 2 × 43 × 29383. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 29383
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,878,688
Proper Divisor Sum 1,351,750
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2526913 ← → #2526959

Radix Representation

Decimal 2526938
Binary 1001101000111011011010 (22 bits)
Octal 0o11507332
Hexadecimal 0x268EDA

Divisor Catalog (8)

1 2 43 86 29,383 58,766 1,263,469 2,526,938

Collatz Trajectory (81 steps to reach 1)

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

2,526,938 1,263,469 3,790,408 1,895,204 947,602 473,801 1,421,404 710,702 355,351 1,066,054 533,027 1,599,082 799,541 2,398,624 1,199,312 599,656 299,828 149,914 74,957 224,872 112,436 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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