λ
Prime Ledger

624,577

624577
Deficient Odd Prime

624,577 has the prime decomposition 624577. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 624577
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 624,578
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #624541 ← → #624593

Radix Representation

Decimal 624577
Binary 10011000011111000001 (20 bits)
Octal 0o2303701
Hexadecimal 0x987C1

Divisor Catalog (2)

Collatz Trajectory (159 steps to reach 1)

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

624,577 1,873,732 936,866 468,433 1,405,300 702,650 351,325 1,053,976 526,988 263,494 131,747 395,242 197,621 592,864 296,432 148,216 74,108 37,054 18,527 55,582 27,791 83,374 41,687 125,062 62,531 187,594 93,797 281,392 140,696 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964

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