λ
Prime Ledger

221,213

157 × 1409
Deficient Odd Composite

221,213 has the prime decomposition 157 × 1409. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 157 × 1409
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 222,780
Proper Divisor Sum 1,567
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #221209 ← → #221219

Radix Representation

Decimal 221213
Binary 110110000000011101 (18 bits)
Octal 0o660035
Hexadecimal 0x3601D

Divisor Catalog (4)

1 157 1,409 221,213

Collatz Trajectory (93 steps to reach 1)

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

221,213 663,640 331,820 165,910 82,955 248,866 124,433 373,300 186,650 93,325 279,976 139,988 69,994 34,997 104,992 52,496 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236

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