λ
Integer Codex

2,399,475

3 × 52 × 13 × 23 × 107
Deficient Odd Composite

For 2,399,475, the 48 positive divisors have a total of 4,499,712. Removing 2,399,475 leaves 2,100,237, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 23 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,499,712
Proper Divisor Sum 2,100,237
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2399461 ← → #2399477

Radix Representation

Decimal 2399475
Binary 1001001001110011110011 (22 bits)
Octal 0o11116363
Hexadecimal 0x249CF3

Divisor Catalog (48)

1 3 5 13 15 23 25 39 65 69 75 107 115 195 299 321 325 345 535 575 897 975 1,391 1,495 1,605 1,725 2,461 2,675 4,173 4,485 6,955 7,383 7,475 8,025 12,305 20,865 22,425 31,993 34,775 36,915 61,525 95,979 104,325 159,965 184,575 479,895 799,825 2,399,475

Collatz Trajectory (228 steps to reach 1)

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

2,399,475 7,198,426 3,599,213 10,797,640 5,398,820 2,699,410 1,349,705 4,049,116 2,024,558 1,012,279 3,036,838 1,518,419 4,555,258 2,277,629 6,832,888 3,416,444 1,708,222 854,111 2,562,334 1,281,167 3,843,502 1,921,751 5,765,254 2,882,627 8,647,882 4,323,941 12,971,824 6,485,912 3,242,956 1,621,478 810,739 2,432,218 1,216,109 3,648,328 1,824,164 912,082 456,041 1,368,124 684,062 342,031 1,026,094 513,047 1,539,142 769,571 2,308,714 1,154,357 3,463,072 1,731,536 865,768 432,884 216,442 108,221 324,664 162,332 81,166 40,583 121,750 60,875 182,626 91,313

More profiles

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