λ
Harmonic Matrix

2,752,390

2 × 5 × 29 × 9491
Deficient Even Composite

2,752,390 has digital root 1. The neighboring primes are 2752357 and 2752391; its proper-divisor sum differs from the starting integer by -379,100.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 9491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,125,680
Proper Divisor Sum 2,373,290
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2752357 ← → #2752391

Radix Representation

Decimal 2752390
Binary 1010011111111110000110 (22 bits)
Octal 0o12377606
Hexadecimal 0x29FF86

Divisor Catalog (16)

1 2 5 10 29 58 145 290 9,491 18,982 47,455 94,910 275,239 550,478 1,376,195 2,752,390

Collatz Trajectory (231 steps to reach 1)

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

2,752,390 1,376,195 4,128,586 2,064,293 6,192,880 3,096,440 1,548,220 774,110 387,055 1,161,166 580,583 1,741,750 870,875 2,612,626 1,306,313 3,918,940 1,959,470 979,735 2,939,206 1,469,603 4,408,810 2,204,405 6,613,216 3,306,608 1,653,304 826,652 413,326 206,663 619,990 309,995 929,986 464,993 1,394,980 697,490 348,745 1,046,236 523,118 261,559 784,678 392,339 1,177,018 588,509 1,765,528 882,764 441,382 220,691 662,074 331,037 993,112 496,556 248,278 124,139 372,418 186,209 558,628 279,314 139,657 418,972 209,486 104,743

More profiles

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