λ
Prime Ledger

2,150,325

32 × 52 × 19 × 503
Deficient Odd Composite

2,150,325 has the prime decomposition 3^2 × 5^2 × 19 × 503. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 19 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,062,240
Proper Divisor Sum 1,911,915
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2150303 ← → #2150333

Radix Representation

Decimal 2150325
Binary 1000001100111110110101 (22 bits)
Octal 0o10147665
Hexadecimal 0x20CFB5

Divisor Catalog (36)

1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 503 855 1,425 1,509 2,515 4,275 4,527 7,545 9,557 12,575 22,635 28,671 37,725 47,785 86,013 113,175 143,355 238,925 430,065 716,775 2,150,325

Collatz Trajectory (135 steps to reach 1)

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

2,150,325 6,450,976 3,225,488 1,612,744 806,372 403,186 201,593 604,780 302,390 151,195 453,586 226,793 680,380 340,190 170,095 510,286 255,143 765,430 382,715 1,148,146 574,073 1,722,220 861,110 430,555 1,291,666 645,833 1,937,500 968,750 484,375 1,453,126 726,563 2,179,690 1,089,845 3,269,536 1,634,768 817,384 408,692 204,346 102,173 306,520 153,260 76,630 38,315 114,946 57,473 172,420 86,210 43,105 129,316 64,658 32,329 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836

More profiles

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