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Atlas › Integer Profiles › Node 8,076,321

8,076,321

33 × 11 × 71 × 383
Deficient Odd Composite

8,076,321 factors as 3^3 × 11 × 71 × 383. Its 32 positive divisors give a proper-divisor sum of 5,194,719, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 71 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,271,040
Proper Divisor Sum 5,194,719
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8076319 ← → #8076329

Radix Representation

Decimal 8076321
Binary 11110110011110000100001 (23 bits)
Octal 0o36636041
Hexadecimal 0x7B3C21

Divisor Catalog (32)

1 3 9 11 27 33 71 99 213 297 383 639 781 1,149 1,917 2,343 3,447 4,213 7,029 10,341 12,639 21,087 27,193 37,917 81,579 113,751 244,737 299,123 734,211 897,369 2,692,107 8,076,321

Collatz Trajectory (93 steps to reach 1)

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

8,076,321 24,228,964 12,114,482 6,057,241 18,171,724 9,085,862 4,542,931 13,628,794 6,814,397 20,443,192 10,221,596 5,110,798 2,555,399 7,666,198 3,833,099 11,499,298 5,749,649 17,248,948 8,624,474 4,312,237 12,936,712 6,468,356 3,234,178 1,617,089 4,851,268 2,425,634 1,212,817 3,638,452 1,819,226 909,613 2,728,840 1,364,420 682,210 341,105 1,023,316 511,658 255,829 767,488 383,744 191,872 95,936 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424

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