623,201

73 × 8537

Starting at 623,201, the Collatz iteration reaches 1 after 172 steps. The first transition is 1869604; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 73 × 8537

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 631,812

Proper Divisor Sum 8,611

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #623171 ← → #623209

Radix Representation

Decimal	623201
Binary	10011000001001100001 (20 bits)
Octal	0o2301141
Hexadecimal	0x98261

Divisor Catalog (4)

1 73 8,537 623,201

Collatz Trajectory (172 steps to reach 1)

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

623,201 1,869,604 934,802 467,401 1,402,204 701,102 350,551 1,051,654 525,827 1,577,482 788,741 2,366,224 1,183,112 591,556 295,778 147,889 443,668 221,834 110,917 332,752 166,376 83,188 41,594 20,797 62,392 31,196 15,598 7,799 23,398 11,699 35,098 17,549 52,648 26,324 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 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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