1,651,797

3² × 7 × 157 × 167

Starting at 1,651,797, the Collatz iteration reaches 1 after 176 steps. The first transition is 4955392; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 157 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,760,576

Proper Divisor Sum 1,108,779

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1651787 ← → #1651801

Radix Representation

Decimal	1651797
Binary	110010011010001010101 (21 bits)
Octal	0o6232125
Hexadecimal	0x193455

Divisor Catalog (24)

1 3 7 9 21 63 157 167 471 501 1,099 1,169 1,413 1,503 3,297 3,507 9,891 10,521 26,219 78,657 183,533 235,971 550,599 1,651,797

Collatz Trajectory (176 steps to reach 1)

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

1,651,797 4,955,392 2,477,696 1,238,848 619,424 309,712 154,856 77,428 38,714 19,357 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748

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