617,492

2² × 154373

617,492 has digital root 2. The neighboring primes are 617479 and 617509; its proper-divisor sum differs from the starting integer by -154,366.

Prime Factor Structure

Factorization String 2^2 × 154373

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,080,618

Proper Divisor Sum 463,126

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #617479 ← → #617509

Radix Representation

Decimal	617492
Binary	10010110110000010100 (20 bits)
Octal	0o2266024
Hexadecimal	0x96C14

Divisor Catalog (6)

1 2 4 154,373 308,746 617,492

Collatz Trajectory (172 steps to reach 1)

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

617,492 308,746 154,373 463,120 231,560 115,780 57,890 28,945 86,836 43,418 21,709 65,128 32,564 16,282 8,141 24,424 12,212 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110

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