λ
Sigma Notebook

315,213

3 × 105071
Deficient Odd Composite

315,213 is odd and not a perfect square. Its factorization is 3 × 105071 and its 4 divisors sum to 420,288.

Prime Factor Structure

Factorization String 3 × 105071
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 420,288
Proper Divisor Sum 105,075
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #315199 ← → #315223

Radix Representation

Decimal 315213
Binary 1001100111101001101 (19 bits)
Octal 0o1147515
Hexadecimal 0x4CF4D

Divisor Catalog (4)

1 3 105,071 315,213

Collatz Trajectory (127 steps to reach 1)

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

315,213 945,640 472,820 236,410 118,205 354,616 177,308 88,654 44,327 132,982 66,491 199,474 99,737 299,212 149,606 74,803 224,410 112,205 336,616 168,308 84,154 42,077 126,232 63,116 31,558 15,779 47,338 23,669 71,008 35,504 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334

More profiles

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