λ
Harmonic Matrix

8,654,237

8654237
Deficient Odd Prime

8,654,237 has digital root 8. The neighboring primes are 8654231 and 8654249; its proper-divisor sum differs from the starting integer by -8,654,236.

Prime Factor Structure

Factorization String 8654237
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,654,238
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8654231 ← → #8654249

Radix Representation

Decimal 8654237
Binary 100001000000110110011101 (24 bits)
Octal 0o41006635
Hexadecimal 0x840D9D

Divisor Catalog (2)

Collatz Trajectory (424 steps to reach 1)

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

8,654,237 25,962,712 12,981,356 6,490,678 3,245,339 9,736,018 4,868,009 14,604,028 7,302,014 3,651,007 10,953,022 5,476,511 16,429,534 8,214,767 24,644,302 12,322,151 36,966,454 18,483,227 55,449,682 27,724,841 83,174,524 41,587,262 20,793,631 62,380,894 31,190,447 93,571,342 46,785,671 140,357,014 70,178,507 210,535,522 105,267,761 315,803,284 157,901,642 78,950,821 236,852,464 118,426,232 59,213,116 29,606,558 14,803,279 44,409,838 22,204,919 66,614,758 33,307,379 99,922,138 49,961,069 149,883,208 74,941,604 37,470,802 18,735,401 56,206,204 28,103,102 14,051,551 42,154,654 21,077,327 63,231,982 31,615,991 94,847,974 47,423,987 142,271,962 71,135,981

More profiles

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