391,568

2⁴ × 24473

Starting at 391,568, the Collatz iteration reaches 1 after 117 steps. The first transition is 195784; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 24473

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 758,694

Proper Divisor Sum 367,126

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #391553 ← → #391579

Radix Representation

Decimal	391568
Binary	1011111100110010000 (19 bits)
Octal	0o1374620
Hexadecimal	0x5F990

Divisor Catalog (10)

1 2 4 8 16 24,473 48,946 97,892 195,784 391,568

Collatz Trajectory (117 steps to reach 1)

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

391,568 195,784 97,892 48,946 24,473 73,420 36,710 18,355 55,066 27,533 82,600 41,300 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425

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