1,201,005

3² × 5 × 13 × 2053

1,201,005 factors as 3^2 × 5 × 13 × 2053. Its 24 positive divisors give a proper-divisor sum of 1,041,963, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 2053

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,242,968

Proper Divisor Sum 1,041,963

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #1201003 ← → #1201019

Radix Representation

Decimal	1201005
Binary	100100101001101101101 (21 bits)
Octal	0o4451555
Hexadecimal	0x12536D

Divisor Catalog (24)

Collatz Trajectory (90 steps to reach 1)

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

1,201,005 3,603,016 1,801,508 900,754 450,377 1,351,132 675,566 337,783 1,013,350 506,675 1,520,026 760,013 2,280,040 1,140,020 570,010 285,005 855,016 427,508 213,754 106,877 320,632 160,316 80,158 40,079 120,238 60,119 180,358 90,179 270,538 135,269 405,808 202,904 101,452 50,726 25,363 76,090 38,045 114,136 57,068 28,534 14,267 42,802 21,401 64,204 32,102 16,051 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270

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