1,336,083

3 × 7² × 61 × 149

1,336,083 has digital root 6. The neighboring primes are 1336057 and 1336091; its proper-divisor sum differs from the starting integer by -551,766.

Prime Factor Structure

Factorization String 3 × 7^2 × 61 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,120,400

Proper Divisor Sum 784,317

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1336057 ← → #1336091

Radix Representation

Decimal	1336083
Binary	101000110001100010011 (21 bits)
Octal	0o5061423
Hexadecimal	0x146313

Divisor Catalog (24)

1 3 7 21 49 61 147 149 183 427 447 1,043 1,281 2,989 3,129 7,301 8,967 9,089 21,903 27,267 63,623 190,869 445,361 1,336,083

Collatz Trajectory (62 steps to reach 1)

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

1,336,083 4,008,250 2,004,125 6,012,376 3,006,188 1,503,094 751,547 2,254,642 1,127,321 3,381,964 1,690,982 845,491 2,536,474 1,268,237 3,804,712 1,902,356 951,178 475,589 1,426,768 713,384 356,692 178,346 89,173 267,520 133,760 66,880 33,440 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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