1,106,235

3² × 5 × 13 × 31 × 61

For 1,106,235, the 48 positive divisors have a total of 2,166,528. Removing 1,106,235 leaves 1,060,293, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 31 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,166,528

Proper Divisor Sum 1,060,293

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1106233 ← → #1106243

Radix Representation

Decimal	1106235
Binary	100001110000100111011 (21 bits)
Octal	0o4160473
Hexadecimal	0x10E13B

Divisor Catalog (48)

1 3 5 9 13 15 31 39 45 61 65 93 117 155 183 195 279 305 403 465 549 585 793 915 1,209 1,395 1,891 2,015 2,379 2,745 3,627 3,965 5,673 6,045 7,137 9,455 11,895 17,019 18,135 24,583 28,365 35,685 73,749 85,095 122,915 221,247 368,745 1,106,235

Collatz Trajectory (178 steps to reach 1)

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

1,106,235 3,318,706 1,659,353 4,978,060 2,489,030 1,244,515 3,733,546 1,866,773 5,600,320 2,800,160 1,400,080 700,040 350,020 175,010 87,505 262,516 131,258 65,629 196,888 98,444 49,222 24,611 73,834 36,917 110,752 55,376 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174

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