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Atlas › Integer Profiles › Node 6,971,955

6,971,955

3 × 5 × 17 × 19 × 1439
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 17 × 19 × 1439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,441,600
Proper Divisor Sum 5,469,645
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6971941 ← → #6971959

Radix Representation

Decimal 6971955
Binary 11010100110001000110011 (23 bits)
Octal 0o32461063
Hexadecimal 0x6A6233

Divisor Catalog (32)

1 3 5 15 17 19 51 57 85 95 255 285 323 969 1,439 1,615 4,317 4,845 7,195 21,585 24,463 27,341 73,389 82,023 122,315 136,705 366,945 410,115 464,797 1,394,391 2,323,985 6,971,955

Collatz Trajectory (160 steps to reach 1)

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

6,971,955 20,915,866 10,457,933 31,373,800 15,686,900 7,843,450 3,921,725 11,765,176 5,882,588 2,941,294 1,470,647 4,411,942 2,205,971 6,617,914 3,308,957 9,926,872 4,963,436 2,481,718 1,240,859 3,722,578 1,861,289 5,583,868 2,791,934 1,395,967 4,187,902 2,093,951 6,281,854 3,140,927 9,422,782 4,711,391 14,134,174 7,067,087 21,201,262 10,600,631 31,801,894 15,900,947 47,702,842 23,851,421 71,554,264 35,777,132 17,888,566 8,944,283 26,832,850 13,416,425 40,249,276 20,124,638 10,062,319 30,186,958 15,093,479 45,280,438 22,640,219 67,920,658 33,960,329 101,880,988 50,940,494 25,470,247 76,410,742 38,205,371 114,616,114 57,308,057

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