λ
Harmonic Matrix

8,427,370

2 × 5 × 7 × 120391
Abundant Even Composite

8,427,370 has digital root 4. The neighboring primes are 8427337 and 8427401; its proper-divisor sum differs from the starting integer by 481,708.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 120391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,336,448
Proper Divisor Sum 8,909,078
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8427337 ← → #8427401

Radix Representation

Decimal 8427370
Binary 100000001001011101101010 (24 bits)
Octal 0o40113552
Hexadecimal 0x80976A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 120,391 240,782 601,955 842,737 1,203,910 1,685,474 4,213,685 8,427,370

Collatz Trajectory (129 steps to reach 1)

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

8,427,370 4,213,685 12,641,056 6,320,528 3,160,264 1,580,132 790,066 395,033 1,185,100 592,550 296,275 888,826 444,413 1,333,240 666,620 333,310 166,655 499,966 249,983 749,950 374,975 1,124,926 562,463 1,687,390 843,695 2,531,086 1,265,543 3,796,630 1,898,315 5,694,946 2,847,473 8,542,420 4,271,210 2,135,605 6,406,816 3,203,408 1,601,704 800,852 400,426 200,213 600,640 300,320 150,160 75,080 37,540 18,770 9,385 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459

More profiles

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