λ
Harmonic Matrix

1,351,618

2 × 23 × 29383
Deficient Even Composite

1,351,618 has digital root 7. The neighboring primes are 1351589 and 1351621; its proper-divisor sum differs from the starting integer by -587,588.

Prime Factor Structure

Factorization String 2 × 23 × 29383
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,115,648
Proper Divisor Sum 764,030
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1351589 ← → #1351621

Radix Representation

Decimal 1351618
Binary 101001001111111000010 (21 bits)
Octal 0o5117702
Hexadecimal 0x149FC2

Divisor Catalog (8)

1 2 23 46 29,383 58,766 675,809 1,351,618

Collatz Trajectory (230 steps to reach 1)

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

1,351,618 675,809 2,027,428 1,013,714 506,857 1,520,572 760,286 380,143 1,140,430 570,215 1,710,646 855,323 2,565,970 1,282,985 3,848,956 1,924,478 962,239 2,886,718 1,443,359 4,330,078 2,165,039 6,495,118 3,247,559 9,742,678 4,871,339 14,614,018 7,307,009 21,921,028 10,960,514 5,480,257 16,440,772 8,220,386 4,110,193 12,330,580 6,165,290 3,082,645 9,247,936 4,623,968 2,311,984 1,155,992 577,996 288,998 144,499 433,498 216,749 650,248 325,124 162,562 81,281 243,844 121,922 60,961 182,884 91,442 45,721 137,164 68,582 34,291 102,874 51,437

More profiles

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