4,122,873

3³ × 37 × 4127

4,122,873 factors as 3^3 × 37 × 4127. Its 16 positive divisors give a proper-divisor sum of 2,151,687, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^3 × 37 × 4127

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,274,560

Proper Divisor Sum 2,151,687

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4122863 ← → #4122893

Radix Representation

Decimal	4122873
Binary	1111101110100011111001 (22 bits)
Octal	0o17564371
Hexadecimal	0x3EE8F9

Divisor Catalog (16)

1 3 9 27 37 111 333 999 4,127 12,381 37,143 111,429 152,699 458,097 1,374,291 4,122,873

Collatz Trajectory (167 steps to reach 1)

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

4,122,873 12,368,620 6,184,310 3,092,155 9,276,466 4,638,233 13,914,700 6,957,350 3,478,675 10,436,026 5,218,013 15,654,040 7,827,020 3,913,510 1,956,755 5,870,266 2,935,133 8,805,400 4,402,700 2,201,350 1,100,675 3,302,026 1,651,013 4,953,040 2,476,520 1,238,260 619,130 309,565 928,696 464,348 232,174 116,087 348,262 174,131 522,394 261,197 783,592 391,796 195,898 97,949 293,848 146,924 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904

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