λ
Zalai Atlas

4,907,325

3 × 52 × 59 × 1109
Deficient Odd Composite

4,907,325 has the prime decomposition 3 × 5^2 × 59 × 1109. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 59 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,258,400
Proper Divisor Sum 3,351,075
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4907297 ← → #4907333

Radix Representation

Decimal 4907325
Binary 10010101110000100111101 (23 bits)
Octal 0o22560475
Hexadecimal 0x4AE13D

Divisor Catalog (24)

1 3 5 15 25 59 75 177 295 885 1,109 1,475 3,327 4,425 5,545 16,635 27,725 65,431 83,175 196,293 327,155 981,465 1,635,775 4,907,325

Collatz Trajectory (162 steps to reach 1)

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

4,907,325 14,721,976 7,360,988 3,680,494 1,840,247 5,520,742 2,760,371 8,281,114 4,140,557 12,421,672 6,210,836 3,105,418 1,552,709 4,658,128 2,329,064 1,164,532 582,266 291,133 873,400 436,700 218,350 109,175 327,526 163,763 491,290 245,645 736,936 368,468 184,234 92,117 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144

More profiles

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