9,977,493

3 × 3325831

Starting at 9,977,493, the Collatz iteration reaches 1 after 274 steps. The first transition is 29932480; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 3325831

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 13,303,328

Proper Divisor Sum 3,325,835

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9977483 ← → #9977503

Radix Representation

Decimal	9977493
Binary	100110000011111010010101 (24 bits)
Octal	0o46037225
Hexadecimal	0x983E95

Divisor Catalog (4)

1 3 3,325,831 9,977,493

Collatz Trajectory (274 steps to reach 1)

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

9,977,493 29,932,480 14,966,240 7,483,120 3,741,560 1,870,780 935,390 467,695 1,403,086 701,543 2,104,630 1,052,315 3,156,946 1,578,473 4,735,420 2,367,710 1,183,855 3,551,566 1,775,783 5,327,350 2,663,675 7,991,026 3,995,513 11,986,540 5,993,270 2,996,635 8,989,906 4,494,953 13,484,860 6,742,430 3,371,215 10,113,646 5,056,823 15,170,470 7,585,235 22,755,706 11,377,853 34,133,560 17,066,780 8,533,390 4,266,695 12,800,086 6,400,043 19,200,130 9,600,065 28,800,196 14,400,098 7,200,049 21,600,148 10,800,074 5,400,037 16,200,112 8,100,056 4,050,028 2,025,014 1,012,507 3,037,522 1,518,761 4,556,284 2,278,142

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