λ
Harmonic Matrix

1,378,818

2 × 32 × 7 × 31 × 353
Abundant Even Composite

1,378,818 has digital root 9. The neighboring primes are 1378813 and 1378823; its proper-divisor sum differs from the starting integer by 776,700.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 31 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,534,336
Proper Divisor Sum 2,155,518
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1378813 ← → #1378823

Radix Representation

Decimal 1378818
Binary 101010000101000000010 (21 bits)
Octal 0o5205002
Hexadecimal 0x150A02

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 353 434 558 651 706 1,059 1,302 1,953 2,118 2,471 3,177 3,906 4,942 6,354 7,413 10,943 14,826 21,886 22,239 32,829 44,478 65,658 76,601 98,487 153,202 196,974 229,803 459,606 689,409 1,378,818

Collatz Trajectory (261 steps to reach 1)

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

1,378,818 689,409 2,068,228 1,034,114 517,057 1,551,172 775,586 387,793 1,163,380 581,690 290,845 872,536 436,268 218,134 109,067 327,202 163,601 490,804 245,402 122,701 368,104 184,052 92,026 46,013 138,040 69,020 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934 69,967 209,902 104,951 314,854

More profiles

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