λ
Harmonic Matrix

2,689,873

23 × 107 × 1093
Deficient Odd Composite

2,689,873 has digital root 7. The neighboring primes are 2689867 and 2689877; its proper-divisor sum differs from the starting integer by -2,544,098.

Prime Factor Structure

Factorization String 23 × 107 × 1093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,835,648
Proper Divisor Sum 145,775
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2689867 ← → #2689877

Radix Representation

Decimal 2689873
Binary 1010010000101101010001 (22 bits)
Octal 0o12205521
Hexadecimal 0x290B51

Divisor Catalog (8)

1 23 107 1,093 2,461 25,139 116,951 2,689,873

Collatz Trajectory (143 steps to reach 1)

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

2,689,873 8,069,620 4,034,810 2,017,405 6,052,216 3,026,108 1,513,054 756,527 2,269,582 1,134,791 3,404,374 1,702,187 5,106,562 2,553,281 7,659,844 3,829,922 1,914,961 5,744,884 2,872,442 1,436,221 4,308,664 2,154,332 1,077,166 538,583 1,615,750 807,875 2,423,626 1,211,813 3,635,440 1,817,720 908,860 454,430 227,215 681,646 340,823 1,022,470 511,235 1,533,706 766,853 2,300,560 1,150,280 575,140 287,570 143,785 431,356 215,678 107,839 323,518 161,759 485,278 242,639 727,918 363,959 1,091,878 545,939 1,637,818 818,909 2,456,728 1,228,364 614,182

More profiles

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