λ
Integer Codex

2,701,150

2 × 52 × 89 × 607
Deficient Even Composite

For 2,701,150, the 24 positive divisors have a total of 5,088,960. Removing 2,701,150 leaves 2,387,810, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5^2 × 89 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,088,960
Proper Divisor Sum 2,387,810
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2701117 ← → #2701151

Radix Representation

Decimal 2701150
Binary 1010010011011101011110 (22 bits)
Octal 0o12233536
Hexadecimal 0x29375E

Divisor Catalog (24)

1 2 5 10 25 50 89 178 445 607 890 1,214 2,225 3,035 4,450 6,070 15,175 30,350 54,023 108,046 270,115 540,230 1,350,575 2,701,150

Collatz Trajectory (112 steps to reach 1)

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

2,701,150 1,350,575 4,051,726 2,025,863 6,077,590 3,038,795 9,116,386 4,558,193 13,674,580 6,837,290 3,418,645 10,255,936 5,127,968 2,563,984 1,281,992 640,996 320,498 160,249 480,748 240,374 120,187 360,562 180,281 540,844 270,422 135,211 405,634 202,817 608,452 304,226 152,113 456,340 228,170 114,085 342,256 171,128 85,564 42,782 21,391 64,174 32,087 96,262 48,131 144,394 72,197 216,592 108,296 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135

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