702,167

23 × 30529

Starting at 702,167, the Collatz iteration reaches 1 after 167 steps. The first transition is 2106502; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 30529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 732,720

Proper Divisor Sum 30,553

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #702139 ← → #702173

Radix Representation

Decimal	702167
Binary	10101011011011010111 (20 bits)
Octal	0o2533327
Hexadecimal	0xAB6D7

Divisor Catalog (4)

1 23 30,529 702,167

Collatz Trajectory (167 steps to reach 1)

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

702,167 2,106,502 1,053,251 3,159,754 1,579,877 4,739,632 2,369,816 1,184,908 592,454 296,227 888,682 444,341 1,333,024 666,512 333,256 166,628 83,314 41,657 124,972 62,486 31,243 93,730 46,865 140,596 70,298 35,149 105,448 52,724 26,362 13,181 39,544 19,772 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125

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