λ
Integer Codex

2,446,947

32 × 23 × 11821
Deficient Odd Composite

For 2,446,947, the 12 positive divisors have a total of 3,688,464. Removing 2,446,947 leaves 1,241,517, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 23 × 11821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,688,464
Proper Divisor Sum 1,241,517
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2446931 ← → #2446973

Radix Representation

Decimal 2446947
Binary 1001010101011001100011 (22 bits)
Octal 0o11253143
Hexadecimal 0x255663

Divisor Catalog (12)

1 3 9 23 69 207 11,821 35,463 106,389 271,883 815,649 2,446,947

Collatz Trajectory (112 steps to reach 1)

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

2,446,947 7,340,842 3,670,421 11,011,264 5,505,632 2,752,816 1,376,408 688,204 344,102 172,051 516,154 258,077 774,232 387,116 193,558 96,779 290,338 145,169 435,508 217,754 108,877 326,632 163,316 81,658 40,829 122,488 61,244 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591

More profiles

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