1,013,015

5 × 83 × 2441

Starting at 1,013,015, the Collatz iteration reaches 1 after 227 steps. The first transition is 3039046; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 83 × 2441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,230,768

Proper Divisor Sum 217,753

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #1013009 ← → #1013029

Radix Representation

Decimal	1013015
Binary	11110111010100010111 (20 bits)
Octal	0o3672427
Hexadecimal	0xF7517

Divisor Catalog (8)

1 5 83 415 2,441 12,205 202,603 1,013,015

Collatz Trajectory (227 steps to reach 1)

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

1,013,015 3,039,046 1,519,523 4,558,570 2,279,285 6,837,856 3,418,928 1,709,464 854,732 427,366 213,683 641,050 320,525 961,576 480,788 240,394 120,197 360,592 180,296 90,148 45,074 22,537 67,612 33,806 16,903 50,710 25,355 76,066 38,033 114,100 57,050 28,525 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430

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