λ
Prime Ledger

501,519

3 × 167173
Deficient Odd Composite

501,519 has the prime decomposition 3 × 167173. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 167173
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 668,696
Proper Divisor Sum 167,177
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #501511 ← → #501563

Radix Representation

Decimal 501519
Binary 1111010011100001111 (19 bits)
Octal 0o1723417
Hexadecimal 0x7A70F

Divisor Catalog (4)

1 3 167,173 501,519

Collatz Trajectory (63 steps to reach 1)

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

501,519 1,504,558 752,279 2,256,838 1,128,419 3,385,258 1,692,629 5,077,888 2,538,944 1,269,472 634,736 317,368 158,684 79,342 39,671 119,014 59,507 178,522 89,261 267,784 133,892 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16

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