710,311

7 × 17 × 47 × 127

Starting at 710,311, the Collatz iteration reaches 1 after 97 steps. The first transition is 2130934; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 47 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 884,736

Proper Divisor Sum 174,425

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #710299 ← → #710321

Radix Representation

Decimal	710311
Binary	10101101011010100111 (20 bits)
Octal	0o2553247
Hexadecimal	0xAD6A7

Divisor Catalog (16)

1 7 17 47 119 127 329 799 889 2,159 5,593 5,969 15,113 41,783 101,473 710,311

Collatz Trajectory (97 steps to reach 1)

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

710,311 2,130,934 1,065,467 3,196,402 1,598,201 4,794,604 2,397,302 1,198,651 3,595,954 1,797,977 5,393,932 2,696,966 1,348,483 4,045,450 2,022,725 6,068,176 3,034,088 1,517,044 758,522 379,261 1,137,784 568,892 284,446 142,223 426,670 213,335 640,006 320,003 960,010 480,005 1,440,016 720,008 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202

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