26,727,209

37 × 43 × 107 × 157

26,727,209 factors as 37 × 43 × 107 × 157. Its 16 positive divisors give a proper-divisor sum of 1,803,799, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 37 × 43 × 107 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 28,531,008

Proper Divisor Sum 1,803,799

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #26727163 ← → #26727269

Radix Representation

Decimal	26727209
Binary	1100101111101001100101001 (25 bits)
Octal	0o145751451
Hexadecimal	0x197D329

Divisor Catalog (16)

1 37 43 107 157 1,591 3,959 4,601 5,809 6,751 16,799 170,237 249,787 621,563 722,357 26,727,209

Collatz Trajectory (162 steps to reach 1)

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

26,727,209 80,181,628 40,090,814 20,045,407 60,136,222 30,068,111 90,204,334 45,102,167 135,306,502 67,653,251 202,959,754 101,479,877 304,439,632 152,219,816 76,109,908 38,054,954 19,027,477 57,082,432 28,541,216 14,270,608 7,135,304 3,567,652 1,783,826 891,913 2,675,740 1,337,870 668,935 2,006,806 1,003,403 3,010,210 1,505,105 4,515,316 2,257,658 1,128,829 3,386,488 1,693,244 846,622 423,311 1,269,934 634,967 1,904,902 952,451 2,857,354 1,428,677 4,286,032 2,143,016 1,071,508 535,754 267,877 803,632 401,816 200,908 100,454 50,227 150,682 75,341 226,024 113,012 56,506 28,253

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