λ
Math Directory

1,121,749

29 × 47 × 823
Deficient Odd Composite

1,121,749 factors as 29 × 47 × 823. Its 8 positive divisors give a proper-divisor sum of 64,811, so this integer is deficient. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 29 × 47 × 823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,186,560
Proper Divisor Sum 64,811
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1121737 ← → #1121819

Radix Representation

Decimal 1121749
Binary 100010001110111010101 (21 bits)
Octal 0o4216725
Hexadecimal 0x111DD5

Divisor Catalog (8)

1 29 47 823 1,363 23,867 38,681 1,121,749

Collatz Trajectory (54 steps to reach 1)

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

1,121,749 3,365,248 1,682,624 841,312 420,656 210,328 105,164 52,582 26,291 78,874 39,437 118,312 59,156 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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