λ
Harmonic Matrix

8,332,055

5 × 113 × 14747
Deficient Odd Composite

8,332,055 has digital root 8. The neighboring primes are 8332043 and 8332073; its proper-divisor sum differs from the starting integer by -6,576,478.

Prime Factor Structure

Factorization String 5 × 113 × 14747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,087,632
Proper Divisor Sum 1,755,577
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8332043 ← → #8332073

Radix Representation

Decimal 8332055
Binary 11111110010001100010111 (23 bits)
Octal 0o37621427
Hexadecimal 0x7F2317

Divisor Catalog (8)

1 5 113 565 14,747 73,735 1,666,411 8,332,055

Collatz Trajectory (106 steps to reach 1)

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

8,332,055 24,996,166 12,498,083 37,494,250 18,747,125 56,241,376 28,120,688 14,060,344 7,030,172 3,515,086 1,757,543 5,272,630 2,636,315 7,908,946 3,954,473 11,863,420 5,931,710 2,965,855 8,897,566 4,448,783 13,346,350 6,673,175 20,019,526 10,009,763 30,029,290 15,014,645 45,043,936 22,521,968 11,260,984 5,630,492 2,815,246 1,407,623 4,222,870 2,111,435 6,334,306 3,167,153 9,501,460 4,750,730 2,375,365 7,126,096 3,563,048 1,781,524 890,762 445,381 1,336,144 668,072 334,036 167,018 83,509 250,528 125,264 62,632 31,316 15,658 7,829 23,488 11,744 5,872 2,936 1,468

More profiles

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