984,735

3² × 5 × 79 × 277

Starting at 984,735, the Collatz iteration reaches 1 after 170 steps. The first transition is 2954206; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 79 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,734,720

Proper Divisor Sum 749,985

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #984733 ← → #984749

Radix Representation

Decimal	984735
Binary	11110000011010011111 (20 bits)
Octal	0o3603237
Hexadecimal	0xF069F

Divisor Catalog (24)

1 3 5 9 15 45 79 237 277 395 711 831 1,185 1,385 2,493 3,555 4,155 12,465 21,883 65,649 109,415 196,947 328,245 984,735

Collatz Trajectory (170 steps to reach 1)

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

984,735 2,954,206 1,477,103 4,431,310 2,215,655 6,646,966 3,323,483 9,970,450 4,985,225 14,955,676 7,477,838 3,738,919 11,216,758 5,608,379 16,825,138 8,412,569 25,237,708 12,618,854 6,309,427 18,928,282 9,464,141 28,392,424 14,196,212 7,098,106 3,549,053 10,647,160 5,323,580 2,661,790 1,330,895 3,992,686 1,996,343 5,989,030 2,994,515 8,983,546 4,491,773 13,475,320 6,737,660 3,368,830 1,684,415 5,053,246 2,526,623 7,579,870 3,789,935 11,369,806 5,684,903 17,054,710 8,527,355 25,582,066 12,791,033 38,373,100 19,186,550 9,593,275 28,779,826 14,389,913 43,169,740 21,584,870 10,792,435 32,377,306 16,188,653 48,565,960

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