5,740,625

5⁵ × 11 × 167

5,740,625 has the prime decomposition 5^5 × 11 × 167. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^5 × 11 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,874,496

Proper Divisor Sum 2,133,871

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5740619 ← → #5740633

Radix Representation

Decimal	5740625
Binary	10101111001100001010001 (23 bits)
Octal	0o25714121
Hexadecimal	0x579851

Divisor Catalog (24)

1 5 11 25 55 125 167 275 625 835 1,375 1,837 3,125 4,175 6,875 9,185 20,875 34,375 45,925 104,375 229,625 521,875 1,148,125 5,740,625

Collatz Trajectory (245 steps to reach 1)

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

5,740,625 17,221,876 8,610,938 4,305,469 12,916,408 6,458,204 3,229,102 1,614,551 4,843,654 2,421,827 7,265,482 3,632,741 10,898,224 5,449,112 2,724,556 1,362,278 681,139 2,043,418 1,021,709 3,065,128 1,532,564 766,282 383,141 1,149,424 574,712 287,356 143,678 71,839 215,518 107,759 323,278 161,639 484,918 242,459 727,378 363,689 1,091,068 545,534 272,767 818,302 409,151 1,227,454 613,727 1,841,182 920,591 2,761,774 1,380,887 4,142,662 2,071,331 6,213,994 3,106,997 9,320,992 4,660,496 2,330,248 1,165,124 582,562 291,281 873,844 436,922 218,461

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