1,108,409

29 × 37 × 1033

1,108,409 has digital root 5. The neighboring primes are 1108397 and 1108423; its proper-divisor sum differs from the starting integer by -1,038,058.

Prime Factor Structure

Factorization String 29 × 37 × 1033

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,178,760

Proper Divisor Sum 70,351

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1108397 ← → #1108423

Radix Representation

Decimal	1108409
Binary	100001110100110111001 (21 bits)
Octal	0o4164671
Hexadecimal	0x10E9B9

Divisor Catalog (8)

1 29 37 1,033 1,073 29,957 38,221 1,108,409

Collatz Trajectory (209 steps to reach 1)

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

1,108,409 3,325,228 1,662,614 831,307 2,493,922 1,246,961 3,740,884 1,870,442 935,221 2,805,664 1,402,832 701,416 350,708 175,354 87,677 263,032 131,516 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969 332,908 166,454 83,227 249,682 124,841 374,524 187,262 93,631 280,894 140,447 421,342 210,671 632,014 316,007 948,022 474,011 1,422,034 711,017 2,133,052 1,066,526 533,263 1,599,790 799,895 2,399,686 1,199,843 3,599,530 1,799,765 5,399,296 2,699,648 1,349,824 674,912 337,456 168,728 84,364 42,182

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