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Atlas › Integer Profiles › Node 3,980,431

3,980,431

7 × 13 × 17 × 31 × 83
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 13 × 17 × 31 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,419,008
Proper Divisor Sum 1,438,577
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3980429 ← → #3980461

Radix Representation

Decimal 3980431
Binary 1111001011110010001111 (22 bits)
Octal 0o17136217
Hexadecimal 0x3CBC8F

Divisor Catalog (32)

1 7 13 17 31 83 91 119 217 221 403 527 581 1,079 1,411 1,547 2,573 2,821 3,689 6,851 7,553 9,877 18,011 18,343 33,449 43,741 47,957 128,401 234,143 306,187 568,633 3,980,431

Collatz Trajectory (123 steps to reach 1)

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

3,980,431 11,941,294 5,970,647 17,911,942 8,955,971 26,867,914 13,433,957 40,301,872 20,150,936 10,075,468 5,037,734 2,518,867 7,556,602 3,778,301 11,334,904 5,667,452 2,833,726 1,416,863 4,250,590 2,125,295 6,375,886 3,187,943 9,563,830 4,781,915 14,345,746 7,172,873 21,518,620 10,759,310 5,379,655 16,138,966 8,069,483 24,208,450 12,104,225 36,312,676 18,156,338 9,078,169 27,234,508 13,617,254 6,808,627 20,425,882 10,212,941 30,638,824 15,319,412 7,659,706 3,829,853 11,489,560 5,744,780 2,872,390 1,436,195 4,308,586 2,154,293 6,462,880 3,231,440 1,615,720 807,860 403,930 201,965 605,896 302,948 151,474

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