3,509,375

5⁵ × 1123

3,509,375 has the prime decomposition 5^5 × 1123. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^5 × 1123

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,390,344

Proper Divisor Sum 880,969

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3509371 ← → #3509381

Radix Representation

Decimal	3509375
Binary	1101011000110001111111 (22 bits)
Octal	0o15306177
Hexadecimal	0x358C7F

Divisor Catalog (12)

1 5 25 125 625 1,123 3,125 5,615 28,075 140,375 701,875 3,509,375

Collatz Trajectory (177 steps to reach 1)

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

3,509,375 10,528,126 5,264,063 15,792,190 7,896,095 23,688,286 11,844,143 35,532,430 17,766,215 53,298,646 26,649,323 79,947,970 39,973,985 119,921,956 59,960,978 29,980,489 89,941,468 44,970,734 22,485,367 67,456,102 33,728,051 101,184,154 50,592,077 151,776,232 75,888,116 37,944,058 18,972,029 56,916,088 28,458,044 14,229,022 7,114,511 21,343,534 10,671,767 32,015,302 16,007,651 48,022,954 24,011,477 72,034,432 36,017,216 18,008,608 9,004,304 4,502,152 2,251,076 1,125,538 562,769 1,688,308 844,154 422,077 1,266,232 633,116 316,558 158,279 474,838 237,419 712,258 356,129 1,068,388 534,194 267,097 801,292

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