λ
Harmonic Matrix

8,803,739

7 × 17 × 167 × 443
Deficient Odd Composite

8,803,739 has digital root 2. The neighboring primes are 8803699 and 8803759; its proper-divisor sum differs from the starting integer by -6,866,230.

Prime Factor Structure

Factorization String 7 × 17 × 167 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,741,248
Proper Divisor Sum 1,937,509
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8803699 ← → #8803759

Radix Representation

Decimal 8803739
Binary 100001100101010110011011 (24 bits)
Octal 0o41452633
Hexadecimal 0x86559B

Divisor Catalog (16)

1 7 17 119 167 443 1,169 2,839 3,101 7,531 19,873 52,717 73,981 517,867 1,257,677 8,803,739

Collatz Trajectory (168 steps to reach 1)

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

8,803,739 26,411,218 13,205,609 39,616,828 19,808,414 9,904,207 29,712,622 14,856,311 44,568,934 22,284,467 66,853,402 33,426,701 100,280,104 50,140,052 25,070,026 12,535,013 37,605,040 18,802,520 9,401,260 4,700,630 2,350,315 7,050,946 3,525,473 10,576,420 5,288,210 2,644,105 7,932,316 3,966,158 1,983,079 5,949,238 2,974,619 8,923,858 4,461,929 13,385,788 6,692,894 3,346,447 10,039,342 5,019,671 15,059,014 7,529,507 22,588,522 11,294,261 33,882,784 16,941,392 8,470,696 4,235,348 2,117,674 1,058,837 3,176,512 1,588,256 794,128 397,064 198,532 99,266 49,633 148,900 74,450 37,225 111,676 55,838

More profiles

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