3,437,625

3 × 5³ × 89 × 103

For 3,437,625, the 32 positive divisors have a total of 5,840,640. Removing 3,437,625 leaves 2,403,015, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^3 × 89 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,840,640

Proper Divisor Sum 2,403,015

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3437617 ← → #3437639

Radix Representation

Decimal	3437625
Binary	1101000111010000111001 (22 bits)
Octal	0o15072071
Hexadecimal	0x347439

Divisor Catalog (32)

1 3 5 15 25 75 89 103 125 267 309 375 445 515 1,335 1,545 2,225 2,575 6,675 7,725 9,167 11,125 12,875 27,501 33,375 38,625 45,835 137,505 229,175 687,525 1,145,875 3,437,625

Collatz Trajectory (102 steps to reach 1)

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

3,437,625 10,312,876 5,156,438 2,578,219 7,734,658 3,867,329 11,601,988 5,800,994 2,900,497 8,701,492 4,350,746 2,175,373 6,526,120 3,263,060 1,631,530 815,765 2,447,296 1,223,648 611,824 305,912 152,956 76,478 38,239 114,718 57,359 172,078 86,039 258,118 129,059 387,178 193,589 580,768 290,384 145,192 72,596 36,298 18,149 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607

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