λ
Harmonic Matrix

5,172,223

7 × 738889
Deficient Odd Composite

5,172,223 has digital root 4. The neighboring primes are 5172221 and 5172227; its proper-divisor sum differs from the starting integer by -4,433,326.

Prime Factor Structure

Factorization String 7 × 738889
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,911,120
Proper Divisor Sum 738,897
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5172221 ← → #5172227

Radix Representation

Decimal 5172223
Binary 10011101110101111111111 (23 bits)
Octal 0o23565777
Hexadecimal 0x4EEBFF

Divisor Catalog (4)

1 7 738,889 5,172,223

Collatz Trajectory (232 steps to reach 1)

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

5,172,223 15,516,670 7,758,335 23,275,006 11,637,503 34,912,510 17,456,255 52,368,766 26,184,383 78,553,150 39,276,575 117,829,726 58,914,863 176,744,590 88,372,295 265,116,886 132,558,443 397,675,330 198,837,665 596,512,996 298,256,498 149,128,249 447,384,748 223,692,374 111,846,187 335,538,562 167,769,281 503,307,844 251,653,922 125,826,961 377,480,884 188,740,442 94,370,221 283,110,664 141,555,332 70,777,666 35,388,833 106,166,500 53,083,250 26,541,625 79,624,876 39,812,438 19,906,219 59,718,658 29,859,329 89,577,988 44,788,994 22,394,497 67,183,492 33,591,746 16,795,873 50,387,620 25,193,810 12,596,905 37,790,716 18,895,358 9,447,679 28,343,038 14,171,519 42,514,558

More profiles

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