624,304

2⁴ × 39019

624,304 has digital root 1. The neighboring primes are 624277 and 624311; its proper-divisor sum differs from the starting integer by -38,988.

Prime Factor Structure

Factorization String 2^4 × 39019

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,209,620

Proper Divisor Sum 585,316

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #624277 ← → #624311

Radix Representation

Decimal	624304
Binary	10011000011010110000 (20 bits)
Octal	0o2303260
Hexadecimal	0x986B0

Divisor Catalog (10)

1 2 4 8 16 39,019 78,038 156,076 312,152 624,304

Collatz Trajectory (172 steps to reach 1)

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

624,304 312,152 156,076 78,038 39,019 117,058 58,529 175,588 87,794 43,897 131,692 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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