λ
Zalai Atlas

1,110,381

3 × 29 × 12763
Deficient Odd Composite

1,110,381 has the prime decomposition 3 × 29 × 12763. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 12763
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,531,680
Proper Divisor Sum 421,299
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1110367 ← → #1110397

Radix Representation

Decimal 1110381
Binary 100001111000101101101 (21 bits)
Octal 0o4170555
Hexadecimal 0x10F16D

Divisor Catalog (8)

1 3 29 87 12,763 38,289 370,127 1,110,381

Collatz Trajectory (165 steps to reach 1)

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

1,110,381 3,331,144 1,665,572 832,786 416,393 1,249,180 624,590 312,295 936,886 468,443 1,405,330 702,665 2,107,996 1,053,998 526,999 1,580,998 790,499 2,371,498 1,185,749 3,557,248 1,778,624 889,312 444,656 222,328 111,164 55,582 27,791 83,374 41,687 125,062 62,531 187,594 93,797 281,392 140,696 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280

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