λ
Prime Ledger

374,975

52 × 53 × 283
Deficient Odd Composite

374,975 has the prime decomposition 5^2 × 53 × 283. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 53 × 283
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 475,416
Proper Divisor Sum 100,441
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #374953 ← → #374977

Radix Representation

Decimal 374975
Binary 1011011100010111111 (19 bits)
Octal 0o1334277
Hexadecimal 0x5B8BF

Divisor Catalog (12)

1 5 25 53 265 283 1,325 1,415 7,075 14,999 74,995 374,975

Collatz Trajectory (109 steps to reach 1)

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

374,975 1,124,926 562,463 1,687,390 843,695 2,531,086 1,265,543 3,796,630 1,898,315 5,694,946 2,847,473 8,542,420 4,271,210 2,135,605 6,406,816 3,203,408 1,601,704 800,852 400,426 200,213 600,640 300,320 150,160 75,080 37,540 18,770 9,385 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273

More profiles

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