λ
Integer Codex

2,949,788

22 × 19 × 37 × 1049
Deficient Even Composite

For 2,949,788, the 24 positive divisors have a total of 5,586,000. Removing 2,949,788 leaves 2,636,212, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 19 × 37 × 1049
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,586,000
Proper Divisor Sum 2,636,212
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #2949763 ← → #2949797

Radix Representation

Decimal 2949788
Binary 1011010000001010011100 (22 bits)
Octal 0o13201234
Hexadecimal 0x2D029C

Divisor Catalog (24)

1 2 4 19 37 38 74 76 148 703 1,049 1,406 2,098 2,812 4,196 19,931 38,813 39,862 77,626 79,724 155,252 737,447 1,474,894 2,949,788

Collatz Trajectory (319 steps to reach 1)

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

2,949,788 1,474,894 737,447 2,212,342 1,106,171 3,318,514 1,659,257 4,977,772 2,488,886 1,244,443 3,733,330 1,866,665 5,599,996 2,799,998 1,399,999 4,199,998 2,099,999 6,299,998 3,149,999 9,449,998 4,724,999 14,174,998 7,087,499 21,262,498 10,631,249 31,893,748 15,946,874 7,973,437 23,920,312 11,960,156 5,980,078 2,990,039 8,970,118 4,485,059 13,455,178 6,727,589 20,182,768 10,091,384 5,045,692 2,522,846 1,261,423 3,784,270 1,892,135 5,676,406 2,838,203 8,514,610 4,257,305 12,771,916 6,385,958 3,192,979 9,578,938 4,789,469 14,368,408 7,184,204 3,592,102 1,796,051 5,388,154 2,694,077 8,082,232 4,041,116

More profiles

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