λ
Harmonic Matrix

1,336,552

23 × 7 × 29 × 823
Abundant Even Composite

1,336,552 has digital root 7. The neighboring primes are 1336547 and 1336561; its proper-divisor sum differs from the starting integer by 293,296.

Prime Factor Structure

Factorization String 2^3 × 7 × 29 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,966,400
Proper Divisor Sum 1,629,848
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1336547 ← → #1336561

Radix Representation

Decimal 1336552
Binary 101000110010011101000 (21 bits)
Octal 0o5062350
Hexadecimal 0x1464E8

Divisor Catalog (32)

1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 823 1,624 1,646 3,292 5,761 6,584 11,522 23,044 23,867 46,088 47,734 95,468 167,069 190,936 334,138 668,276 1,336,552

Collatz Trajectory (186 steps to reach 1)

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

1,336,552 668,276 334,138 167,069 501,208 250,604 125,302 62,651 187,954 93,977 281,932 140,966 70,483 211,450 105,725 317,176 158,588 79,294 39,647 118,942 59,471 178,414 89,207 267,622 133,811 401,434 200,717 602,152 301,076 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414

More profiles

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