λ
Harmonic Matrix

5,291,378

2 × 41 × 173 × 373
Deficient Even Composite

5,291,378 has digital root 8. The neighboring primes are 5291347 and 5291383; its proper-divisor sum differs from the starting integer by -2,383,180.

Prime Factor Structure

Factorization String 2 × 41 × 173 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,199,576
Proper Divisor Sum 2,908,198
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5291347 ← → #5291383

Radix Representation

Decimal 5291378
Binary 10100001011110101110010 (23 bits)
Octal 0o24136562
Hexadecimal 0x50BD72

Divisor Catalog (16)

1 2 41 82 173 346 373 746 7,093 14,186 15,293 30,586 64,529 129,058 2,645,689 5,291,378

Collatz Trajectory (325 steps to reach 1)

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

5,291,378 2,645,689 7,937,068 3,968,534 1,984,267 5,952,802 2,976,401 8,929,204 4,464,602 2,232,301 6,696,904 3,348,452 1,674,226 837,113 2,511,340 1,255,670 627,835 1,883,506 941,753 2,825,260 1,412,630 706,315 2,118,946 1,059,473 3,178,420 1,589,210 794,605 2,383,816 1,191,908 595,954 297,977 893,932 446,966 223,483 670,450 335,225 1,005,676 502,838 251,419 754,258 377,129 1,131,388 565,694 282,847 848,542 424,271 1,272,814 636,407 1,909,222 954,611 2,863,834 1,431,917 4,295,752 2,147,876 1,073,938 536,969 1,610,908 805,454 402,727 1,208,182

More profiles

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