λ
Math Directory

1,109,978

2 × 739 × 751
Deficient Even Composite

1,109,978 factors as 2 × 739 × 751. Its 8 positive divisors give a proper-divisor sum of 559,462, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2 × 739 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,669,440
Proper Divisor Sum 559,462
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1109951 ← → #1109987

Radix Representation

Decimal 1109978
Binary 100001110111111011010 (21 bits)
Octal 0o4167732
Hexadecimal 0x10EFDA

Divisor Catalog (8)

1 2 739 751 1,478 1,502 554,989 1,109,978

Collatz Trajectory (72 steps to reach 1)

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

1,109,978 554,989 1,664,968 832,484 416,242 208,121 624,364 312,182 156,091 468,274 234,137 702,412 351,206 175,603 526,810 263,405 790,216 395,108 197,554 98,777 296,332 148,166 74,083 222,250 111,125 333,376 166,688 83,344 41,672 20,836 10,418 5,209 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34

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