7,086,123

3⁵ × 11² × 241

7,086,123 factors as 3^5 × 11^2 × 241. Its 36 positive divisors give a proper-divisor sum of 4,629,581, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3^5 × 11^2 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 11,715,704

Proper Divisor Sum 4,629,581

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7086119 ← → #7086133

Radix Representation

Decimal	7086123
Binary	11011000010000000101011 (23 bits)
Octal	0o33020053
Hexadecimal	0x6C202B

Divisor Catalog (36)

1 3 9 11 27 33 81 99 121 241 243 297 363 723 891 1,089 2,169 2,651 2,673 3,267 6,507 7,953 9,801 19,521 23,859 29,161 29,403 58,563 71,577 87,483 214,731 262,449 644,193 787,347 2,362,041 7,086,123

Collatz Trajectory (98 steps to reach 1)

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

7,086,123 21,258,370 10,629,185 31,887,556 15,943,778 7,971,889 23,915,668 11,957,834 5,978,917 17,936,752 8,968,376 4,484,188 2,242,094 1,121,047 3,363,142 1,681,571 5,044,714 2,522,357 7,567,072 3,783,536 1,891,768 945,884 472,942 236,471 709,414 354,707 1,064,122 532,061 1,596,184 798,092 399,046 199,523 598,570 299,285 897,856 448,928 224,464 112,232 56,116 28,058 14,029 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209

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