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Atlas › Integer Profiles › Node 4,804,425

4,804,425

32 × 52 × 131 × 163
Deficient Odd Composite

4,804,425 factors as 3^2 × 5^2 × 131 × 163. Its 36 positive divisors give a proper-divisor sum of 3,919,719, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 131 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,724,144
Proper Divisor Sum 3,919,719
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4804417 ← → #4804427

Radix Representation

Decimal 4804425
Binary 10010010100111101001001 (23 bits)
Octal 0o22247511
Hexadecimal 0x494F49

Divisor Catalog (36)

1 3 5 9 15 25 45 75 131 163 225 393 489 655 815 1,179 1,467 1,965 2,445 3,275 4,075 5,895 7,335 9,825 12,225 21,353 29,475 36,675 64,059 106,765 192,177 320,295 533,825 960,885 1,601,475 4,804,425

Collatz Trajectory (237 steps to reach 1)

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

4,804,425 14,413,276 7,206,638 3,603,319 10,809,958 5,404,979 16,214,938 8,107,469 24,322,408 12,161,204 6,080,602 3,040,301 9,120,904 4,560,452 2,280,226 1,140,113 3,420,340 1,710,170 855,085 2,565,256 1,282,628 641,314 320,657 961,972 480,986 240,493 721,480 360,740 180,370 90,185 270,556 135,278 67,639 202,918 101,459 304,378 152,189 456,568 228,284 114,142 57,071 171,214 85,607 256,822 128,411 385,234 192,617 577,852 288,926 144,463 433,390 216,695 650,086 325,043 975,130 487,565 1,462,696 731,348 365,674 182,837

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