9,731,754

2 × 3² × 53 × 101²

Starting at 9,731,754, the Collatz iteration reaches 1 after 163 steps. The first transition is 4865877; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 53 × 101^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 21,698,118

Proper Divisor Sum 11,966,364

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9731753 ← → #9731767

Radix Representation

Decimal	9731754
Binary	100101000111111010101010 (24 bits)
Octal	0o45077252
Hexadecimal	0x947EAA

Divisor Catalog (36)

1 2 3 6 9 18 53 101 106 159 202 303 318 477 606 909 954 1,818 5,353 10,201 10,706 16,059 20,402 30,603 32,118 48,177 61,206 91,809 96,354 183,618 540,653 1,081,306 1,621,959 3,243,918 4,865,877 9,731,754

Collatz Trajectory (163 steps to reach 1)

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

9,731,754 4,865,877 14,597,632 7,298,816 3,649,408 1,824,704 912,352 456,176 228,088 114,044 57,022 28,511 85,534 42,767 128,302 64,151 192,454 96,227 288,682 144,341 433,024 216,512 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286

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