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Atlas › Integer Profiles › Node 6,906,975

6,906,975

3 × 52 × 19 × 37 × 131
Deficient Odd Composite

6,906,975 factors as 3 × 5^2 × 19 × 37 × 131. Its 48 positive divisors give a proper-divisor sum of 5,532,705, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 19 × 37 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,439,680
Proper Divisor Sum 5,532,705
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6906973 ← → #6906989

Radix Representation

Decimal 6906975
Binary 11010010110010001011111 (23 bits)
Octal 0o32262137
Hexadecimal 0x69645F

Divisor Catalog (48)

1 3 5 15 19 25 37 57 75 95 111 131 185 285 393 475 555 655 703 925 1,425 1,965 2,109 2,489 2,775 3,275 3,515 4,847 7,467 9,825 10,545 12,445 14,541 17,575 24,235 37,335 52,725 62,225 72,705 92,093 121,175 186,675 276,279 363,525 460,465 1,381,395 2,302,325 6,906,975

Collatz Trajectory (222 steps to reach 1)

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

6,906,975 20,720,926 10,360,463 31,081,390 15,540,695 46,622,086 23,311,043 69,933,130 34,966,565 104,899,696 52,449,848 26,224,924 13,112,462 6,556,231 19,668,694 9,834,347 29,503,042 14,751,521 44,254,564 22,127,282 11,063,641 33,190,924 16,595,462 8,297,731 24,893,194 12,446,597 37,339,792 18,669,896 9,334,948 4,667,474 2,333,737 7,001,212 3,500,606 1,750,303 5,250,910 2,625,455 7,876,366 3,938,183 11,814,550 5,907,275 17,721,826 8,860,913 26,582,740 13,291,370 6,645,685 19,937,056 9,968,528 4,984,264 2,492,132 1,246,066 623,033 1,869,100 934,550 467,275 1,401,826 700,913 2,102,740 1,051,370 525,685 1,577,056

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