9,804,597

3 × 11 × 17 × 17477

Starting at 9,804,597, the Collatz iteration reaches 1 after 88 steps. The first transition is 29413792; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 17 × 17477

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,100,992

Proper Divisor Sum 5,296,395

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9804577 ← → #9804607

Radix Representation

Decimal	9804597
Binary	100101011001101100110101 (24 bits)
Octal	0o45315465
Hexadecimal	0x959B35

Divisor Catalog (16)

1 3 11 17 33 51 187 561 17,477 52,431 192,247 297,109 576,741 891,327 3,268,199 9,804,597

Collatz Trajectory (88 steps to reach 1)

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

9,804,597 29,413,792 14,706,896 7,353,448 3,676,724 1,838,362 919,181 2,757,544 1,378,772 689,386 344,693 1,034,080 517,040 258,520 129,260 64,630 32,315 96,946 48,473 145,420 72,710 36,355 109,066 54,533 163,600 81,800 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732

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