λ
Harmonic Matrix

4,176,237

3 × 13 × 17 × 6299
Deficient Odd Composite

4,176,237 has digital root 3. The neighboring primes are 4176233 and 4176239; its proper-divisor sum differs from the starting integer by -2,002,074.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 6299
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,350,400
Proper Divisor Sum 2,174,163
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4176233 ← → #4176239

Radix Representation

Decimal 4176237
Binary 1111111011100101101101 (22 bits)
Octal 0o17734555
Hexadecimal 0x3FB96D

Divisor Catalog (16)

1 3 13 17 39 51 221 663 6,299 18,897 81,887 107,083 245,661 321,249 1,392,079 4,176,237

Collatz Trajectory (79 steps to reach 1)

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

4,176,237 12,528,712 6,264,356 3,132,178 1,566,089 4,698,268 2,349,134 1,174,567 3,523,702 1,761,851 5,285,554 2,642,777 7,928,332 3,964,166 1,982,083 5,946,250 2,973,125 8,919,376 4,459,688 2,229,844 1,114,922 557,461 1,672,384 836,192 418,096 209,048 104,524 52,262 26,131 78,394 39,197 117,592 58,796 29,398 14,699 44,098 22,049 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736

More profiles

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