4,992,225

3 × 5² × 7 × 37 × 257

4,992,225 has the prime decomposition 3 × 5^2 × 7 × 37 × 257. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 37 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,725,568

Proper Divisor Sum 4,733,343

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4992187 ← → #4992233

Radix Representation

Decimal	4992225
Binary	10011000010110011100001 (23 bits)
Octal	0o23026341
Hexadecimal	0x4C2CE1

Divisor Catalog (48)

1 3 5 7 15 21 25 35 37 75 105 111 175 185 257 259 525 555 771 777 925 1,285 1,295 1,799 2,775 3,855 3,885 5,397 6,425 6,475 8,995 9,509 19,275 19,425 26,985 28,527 44,975 47,545 66,563 134,925 142,635 199,689 237,725 332,815 713,175 998,445 1,664,075 4,992,225

Collatz Trajectory (136 steps to reach 1)

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

4,992,225 14,976,676 7,488,338 3,744,169 11,232,508 5,616,254 2,808,127 8,424,382 4,212,191 12,636,574 6,318,287 18,954,862 9,477,431 28,432,294 14,216,147 42,648,442 21,324,221 63,972,664 31,986,332 15,993,166 7,996,583 23,989,750 11,994,875 35,984,626 17,992,313 53,976,940 26,988,470 13,494,235 40,482,706 20,241,353 60,724,060 30,362,030 15,181,015 45,543,046 22,771,523 68,314,570 34,157,285 102,471,856 51,235,928 25,617,964 12,808,982 6,404,491 19,213,474 9,606,737 28,820,212 14,410,106 7,205,053 21,615,160 10,807,580 5,403,790 2,701,895 8,105,686 4,052,843 12,158,530 6,079,265 18,237,796 9,118,898 4,559,449 13,678,348 6,839,174

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