4,158,175

5² × 7 × 23761

Starting at 4,158,175, the Collatz iteration reaches 1 after 167 steps. The first transition is 12474526; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 23761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,892,976

Proper Divisor Sum 1,734,801

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4158173 ← → #4158181

Radix Representation

Decimal	4158175
Binary	1111110111001011011111 (22 bits)
Octal	0o17671337
Hexadecimal	0x3F72DF

Divisor Catalog (12)

1 5 7 25 35 175 23,761 118,805 166,327 594,025 831,635 4,158,175

Collatz Trajectory (167 steps to reach 1)

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

4,158,175 12,474,526 6,237,263 18,711,790 9,355,895 28,067,686 14,033,843 42,101,530 21,050,765 63,152,296 31,576,148 15,788,074 7,894,037 23,682,112 11,841,056 5,920,528 2,960,264 1,480,132 740,066 370,033 1,110,100 555,050 277,525 832,576 416,288 208,144 104,072 52,036 26,018 13,009 39,028 19,514 9,757 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124

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