702,171

3² × 61 × 1279

Starting at 702,171, the Collatz iteration reaches 1 after 167 steps. The first transition is 2106514; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 61 × 1279

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,031,680

Proper Divisor Sum 329,509

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #702139 ← → #702173

Radix Representation

Decimal	702171
Binary	10101011011011011011 (20 bits)
Octal	0o2533333
Hexadecimal	0xAB6DB

Divisor Catalog (12)

1 3 9 61 183 549 1,279 3,837 11,511 78,019 234,057 702,171

Collatz Trajectory (167 steps to reach 1)

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

702,171 2,106,514 1,053,257 3,159,772 1,579,886 789,943 2,369,830 1,184,915 3,554,746 1,777,373 5,332,120 2,666,060 1,333,030 666,515 1,999,546 999,773 2,999,320 1,499,660 749,830 374,915 1,124,746 562,373 1,687,120 843,560 421,780 210,890 105,445 316,336 158,168 79,084 39,542 19,771 59,314 29,657 88,972 44,486 22,243 66,730 33,365 100,096 50,048 25,024 12,512 6,256 3,128 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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