λ
Integer Codex

2,407,130

2 × 5 × 11 × 79 × 277
Deficient Even Composite

For 2,407,130, the 32 positive divisors have a total of 4,803,840. Removing 2,407,130 leaves 2,396,710, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 79 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,803,840
Proper Divisor Sum 2,396,710
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2407127 ← → #2407147

Radix Representation

Decimal 2407130
Binary 1001001011101011011010 (22 bits)
Octal 0o11135332
Hexadecimal 0x24BADA

Divisor Catalog (32)

1 2 5 10 11 22 55 79 110 158 277 395 554 790 869 1,385 1,738 2,770 3,047 4,345 6,094 8,690 15,235 21,883 30,470 43,766 109,415 218,830 240,713 481,426 1,203,565 2,407,130

Collatz Trajectory (117 steps to reach 1)

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

2,407,130 1,203,565 3,610,696 1,805,348 902,674 451,337 1,354,012 677,006 338,503 1,015,510 507,755 1,523,266 761,633 2,284,900 1,142,450 571,225 1,713,676 856,838 428,419 1,285,258 642,629 1,927,888 963,944 481,972 240,986 120,493 361,480 180,740 90,370 45,185 135,556 67,778 33,889 101,668 50,834 25,417 76,252 38,126 19,063 57,190 28,595 85,786 42,893 128,680 64,340 32,170 16,085 48,256 24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425

More profiles

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