9,712,773

3² × 7 × 151 × 1021

Starting at 9,712,773, the Collatz iteration reaches 1 after 101 steps. The first transition is 29138320; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 151 × 1021

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,155,776

Proper Divisor Sum 6,443,003

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9712771 ← → #9712799

Radix Representation

Decimal	9712773
Binary	100101000011010010000101 (24 bits)
Octal	0o45032205
Hexadecimal	0x943485

Divisor Catalog (24)

1 3 7 9 21 63 151 453 1,021 1,057 1,359 3,063 3,171 7,147 9,189 9,513 21,441 64,323 154,171 462,513 1,079,197 1,387,539 3,237,591 9,712,773

Collatz Trajectory (101 steps to reach 1)

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

9,712,773 29,138,320 14,569,160 7,284,580 3,642,290 1,821,145 5,463,436 2,731,718 1,365,859 4,097,578 2,048,789 6,146,368 3,073,184 1,536,592 768,296 384,148 192,074 96,037 288,112 144,056 72,028 36,014 18,007 54,022 27,011 81,034 40,517 121,552 60,776 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287

← Previous Integer #9,712,772 Browse Full Index Next Integer #9,712,774 →