2,401,775

5² × 23 × 4177

For 2,401,775, the 12 positive divisors have a total of 3,108,432. Removing 2,401,775 leaves 706,657, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 23 × 4177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,108,432

Proper Divisor Sum 706,657

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2401741 ← → #2401807

Radix Representation

Decimal	2401775
Binary	1001001010010111101111 (22 bits)
Octal	0o11122757
Hexadecimal	0x24A5EF

Divisor Catalog (12)

1 5 23 25 115 575 4,177 20,885 96,071 104,425 480,355 2,401,775

Collatz Trajectory (236 steps to reach 1)

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

2,401,775 7,205,326 3,602,663 10,807,990 5,403,995 16,211,986 8,105,993 24,317,980 12,158,990 6,079,495 18,238,486 9,119,243 27,357,730 13,678,865 41,036,596 20,518,298 10,259,149 30,777,448 15,388,724 7,694,362 3,847,181 11,541,544 5,770,772 2,885,386 1,442,693 4,328,080 2,164,040 1,082,020 541,010 270,505 811,516 405,758 202,879 608,638 304,319 912,958 456,479 1,369,438 684,719 2,054,158 1,027,079 3,081,238 1,540,619 4,621,858 2,310,929 6,932,788 3,466,394 1,733,197 5,199,592 2,599,796 1,299,898 649,949 1,949,848 974,924 487,462 243,731 731,194 365,597 1,096,792 548,396

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