λ
Prime Ledger

624,314

2 × 541 × 577
Deficient Even Composite

624,314 has the prime decomposition 2 × 541 × 577. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 541 × 577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 939,828
Proper Divisor Sum 315,514
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #624313 ← → #624319

Radix Representation

Decimal 624314
Binary 10011000011010111010 (20 bits)
Octal 0o2303272
Hexadecimal 0x986BA

Divisor Catalog (8)

1 2 541 577 1,082 1,154 312,157 624,314

Collatz Trajectory (172 steps to reach 1)

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

624,314 312,157 936,472 468,236 234,118 117,059 351,178 175,589 526,768 263,384 131,692 65,846 32,923 98,770 49,385 148,156 74,078 37,039 111,118 55,559 166,678 83,339 250,018 125,009 375,028 187,514 93,757 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661

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