λ
Math Directory

1,268,931

3 × 17 × 139 × 179
Deficient Odd Composite

1,268,931 factors as 3 × 17 × 139 × 179. Its 16 positive divisors give a proper-divisor sum of 545,469, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3 × 17 × 139 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,814,400
Proper Divisor Sum 545,469
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1268929 ← → #1268947

Radix Representation

Decimal 1268931
Binary 100110101110011000011 (21 bits)
Octal 0o4656303
Hexadecimal 0x135CC3

Divisor Catalog (16)

1 3 17 51 139 179 417 537 2,363 3,043 7,089 9,129 24,881 74,643 422,977 1,268,931

Collatz Trajectory (80 steps to reach 1)

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

1,268,931 3,806,794 1,903,397 5,710,192 2,855,096 1,427,548 713,774 356,887 1,070,662 535,331 1,605,994 802,997 2,408,992 1,204,496 602,248 301,124 150,562 75,281 225,844 112,922 56,461 169,384 84,692 42,346 21,173 63,520 31,760 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

More profiles

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