1,735,331

13 × 29 × 4603

Starting at 1,735,331, the Collatz iteration reaches 1 after 189 steps. The first transition is 5205994; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 29 × 4603

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,933,680

Proper Divisor Sum 198,349

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1735313 ← → #1735333

Radix Representation

Decimal	1735331
Binary	110100111101010100011 (21 bits)
Octal	0o6475243
Hexadecimal	0x1A7AA3

Divisor Catalog (8)

1 13 29 377 4,603 59,839 133,487 1,735,331

Collatz Trajectory (189 steps to reach 1)

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

1,735,331 5,205,994 2,602,997 7,808,992 3,904,496 1,952,248 976,124 488,062 244,031 732,094 366,047 1,098,142 549,071 1,647,214 823,607 2,470,822 1,235,411 3,706,234 1,853,117 5,559,352 2,779,676 1,389,838 694,919 2,084,758 1,042,379 3,127,138 1,563,569 4,690,708 2,345,354 1,172,677 3,518,032 1,759,016 879,508 439,754 219,877 659,632 329,816 164,908 82,454 41,227 123,682 61,841 185,524 92,762 46,381 139,144 69,572 34,786 17,393 52,180 26,090 13,045 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835

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