1,015,133

7² × 20717

Starting at 1,015,133, the Collatz iteration reaches 1 after 302 steps. The first transition is 3045400; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 20717

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,180,926

Proper Divisor Sum 165,793

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1015127 ← → #1015139

Radix Representation

Decimal	1015133
Binary	11110111110101011101 (20 bits)
Octal	0o3676535
Hexadecimal	0xF7D5D

Divisor Catalog (6)

1 7 49 20,717 145,019 1,015,133

Collatz Trajectory (302 steps to reach 1)

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

1,015,133 3,045,400 1,522,700 761,350 380,675 1,142,026 571,013 1,713,040 856,520 428,260 214,130 107,065 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538 976,769 2,930,308 1,465,154 732,577 2,197,732 1,098,866 549,433 1,648,300 824,150 412,075 1,236,226 618,113 1,854,340 927,170 463,585 1,390,756

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