1,520,029

7² × 67 × 463

Starting at 1,520,029, the Collatz iteration reaches 1 after 137 steps. The first transition is 4560088; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 67 × 463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,798,464

Proper Divisor Sum 278,435

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1520011 ← → #1520069

Radix Representation

Decimal	1520029
Binary	101110011000110011101 (21 bits)
Octal	0o5630635
Hexadecimal	0x17319D

Divisor Catalog (12)

1 7 49 67 463 469 3,241 3,283 22,687 31,021 217,147 1,520,029

Collatz Trajectory (137 steps to reach 1)

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

1,520,029 4,560,088 2,280,044 1,140,022 570,011 1,710,034 855,017 2,565,052 1,282,526 641,263 1,923,790 961,895 2,885,686 1,442,843 4,328,530 2,164,265 6,492,796 3,246,398 1,623,199 4,869,598 2,434,799 7,304,398 3,652,199 10,956,598 5,478,299 16,434,898 8,217,449 24,652,348 12,326,174 6,163,087 18,489,262 9,244,631 27,733,894 13,866,947 41,600,842 20,800,421 62,401,264 31,200,632 15,600,316 7,800,158 3,900,079 11,700,238 5,850,119 17,550,358 8,775,179 26,325,538 13,162,769 39,488,308 19,744,154 9,872,077 29,616,232 14,808,116 7,404,058 3,702,029 11,106,088 5,553,044 2,776,522 1,388,261 4,164,784 2,082,392

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