λ
Sigma Notebook

8,421,370

2 × 5 × 19 × 127 × 349
Deficient Even Composite

8,421,370 is even and not a perfect square. Its factorization is 2 × 5 × 19 × 127 × 349 and its 32 divisors sum to 16,128,000.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 127 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,128,000
Proper Divisor Sum 7,706,630
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8421251 ← → #8421403

Radix Representation

Decimal 8421370
Binary 100000000111111111111010 (24 bits)
Octal 0o40077772
Hexadecimal 0x807FFA

Divisor Catalog (32)

1 2 5 10 19 38 95 127 190 254 349 635 698 1,270 1,745 2,413 3,490 4,826 6,631 12,065 13,262 24,130 33,155 44,323 66,310 88,646 221,615 443,230 842,137 1,684,274 4,210,685 8,421,370

Collatz Trajectory (155 steps to reach 1)

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

8,421,370 4,210,685 12,632,056 6,316,028 3,158,014 1,579,007 4,737,022 2,368,511 7,105,534 3,552,767 10,658,302 5,329,151 15,987,454 7,993,727 23,981,182 11,990,591 35,971,774 17,985,887 53,957,662 26,978,831 80,936,494 40,468,247 121,404,742 60,702,371 182,107,114 91,053,557 273,160,672 136,580,336 68,290,168 34,145,084 17,072,542 8,536,271 25,608,814 12,804,407 38,413,222 19,206,611 57,619,834 28,809,917 86,429,752 43,214,876 21,607,438 10,803,719 32,411,158 16,205,579 48,616,738 24,308,369 72,925,108 36,462,554 18,231,277 54,693,832 27,346,916 13,673,458 6,836,729 20,510,188 10,255,094 5,127,547 15,382,642 7,691,321 23,073,964 11,536,982

More profiles

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