77,547

3 × 25849

Starting at 77,547, the Collatz iteration reaches 1 after 63 steps. The first transition is 232642; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 25849

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 103,400

Proper Divisor Sum 25,853

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #77543 ← → #77549

Radix Representation

Decimal	77547
Binary	10010111011101011 (17 bits)
Octal	0o227353
Hexadecimal	0x12EEB

Divisor Catalog (4)

1 3 25,849 77,547

Collatz Trajectory (63 steps to reach 1)

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

77,547 232,642 116,321 348,964 174,482 87,241 261,724 130,862 65,431 196,294 98,147 294,442 147,221 441,664 220,832 110,416 55,208 27,604 13,802 6,901 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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