900,993

3 × 300331

Starting at 900,993, the Collatz iteration reaches 1 after 113 steps. The first transition is 2702980; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 300331

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,201,328

Proper Divisor Sum 300,335

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #900973 ← → #900997

Radix Representation

Decimal	900993
Binary	11011011111110000001 (20 bits)
Octal	0o3337601
Hexadecimal	0xDBF81

Divisor Catalog (4)

1 3 300,331 900,993

Collatz Trajectory (113 steps to reach 1)

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

900,993 2,702,980 1,351,490 675,745 2,027,236 1,013,618 506,809 1,520,428 760,214 380,107 1,140,322 570,161 1,710,484 855,242 427,621 1,282,864 641,432 320,716 160,358 80,179 240,538 120,269 360,808 180,404 90,202 45,101 135,304 67,652 33,826 16,913 50,740 25,370 12,685 38,056 19,028 9,514 4,757 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958

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