λ
Harmonic Matrix

1,212,237

32 × 132 × 797
Deficient Odd Composite

1,212,237 has digital root 9. The neighboring primes are 1212227 and 1212241; its proper-divisor sum differs from the starting integer by -526,032.

Prime Factor Structure

Factorization String 3^2 × 13^2 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,898,442
Proper Divisor Sum 686,205
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1212227 ← → #1212241

Radix Representation

Decimal 1212237
Binary 100100111111101001101 (21 bits)
Octal 0o4477515
Hexadecimal 0x127F4D

Divisor Catalog (18)

1 3 9 13 39 117 169 507 797 1,521 2,391 7,173 10,361 31,083 93,249 134,693 404,079 1,212,237

Collatz Trajectory (67 steps to reach 1)

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

1,212,237 3,636,712 1,818,356 909,178 454,589 1,363,768 681,884 340,942 170,471 511,414 255,707 767,122 383,561 1,150,684 575,342 287,671 863,014 431,507 1,294,522 647,261 1,941,784 970,892 485,446 242,723 728,170 364,085 1,092,256 546,128 273,064 136,532 68,266 34,133 102,400 51,200 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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