λ
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Atlas › Integer Profiles › Node 8,093,415

8,093,415

3 × 5 × 11 × 181 × 271
Deficient Odd Composite

8,093,415 factors as 3 × 5 × 11 × 181 × 271. Its 32 positive divisors give a proper-divisor sum of 6,163,737, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 181 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,257,152
Proper Divisor Sum 6,163,737
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8093369 ← → #8093429

Radix Representation

Decimal 8093415
Binary 11110110111111011100111 (23 bits)
Octal 0o36677347
Hexadecimal 0x7B7EE7

Divisor Catalog (32)

1 3 5 11 15 33 55 165 181 271 543 813 905 1,355 1,991 2,715 2,981 4,065 5,973 8,943 9,955 14,905 29,865 44,715 49,051 147,153 245,255 539,561 735,765 1,618,683 2,697,805 8,093,415

Collatz Trajectory (230 steps to reach 1)

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

8,093,415 24,280,246 12,140,123 36,420,370 18,210,185 54,630,556 27,315,278 13,657,639 40,972,918 20,486,459 61,459,378 30,729,689 92,189,068 46,094,534 23,047,267 69,141,802 34,570,901 103,712,704 51,856,352 25,928,176 12,964,088 6,482,044 3,241,022 1,620,511 4,861,534 2,430,767 7,292,302 3,646,151 10,938,454 5,469,227 16,407,682 8,203,841 24,611,524 12,305,762 6,152,881 18,458,644 9,229,322 4,614,661 13,843,984 6,921,992 3,460,996 1,730,498 865,249 2,595,748 1,297,874 648,937 1,946,812 973,406 486,703 1,460,110 730,055 2,190,166 1,095,083 3,285,250 1,642,625 4,927,876 2,463,938 1,231,969 3,695,908 1,847,954

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