λ
Harmonic Matrix

4,288,033

271 × 15823
Deficient Odd Composite

4,288,033 has digital root 1. The neighboring primes are 4288021 and 4288043; its proper-divisor sum differs from the starting integer by -4,271,938.

Prime Factor Structure

Factorization String 271 × 15823
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,304,128
Proper Divisor Sum 16,095
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4288021 ← → #4288043

Radix Representation

Decimal 4288033
Binary 10000010110111000100001 (23 bits)
Octal 0o20267041
Hexadecimal 0x416E21

Divisor Catalog (4)

1 271 15,823 4,288,033

Collatz Trajectory (180 steps to reach 1)

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

4,288,033 12,864,100 6,432,050 3,216,025 9,648,076 4,824,038 2,412,019 7,236,058 3,618,029 10,854,088 5,427,044 2,713,522 1,356,761 4,070,284 2,035,142 1,017,571 3,052,714 1,526,357 4,579,072 2,289,536 1,144,768 572,384 286,192 143,096 71,548 35,774 17,887 53,662 26,831 80,494 40,247 120,742 60,371 181,114 90,557 271,672 135,836 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414 96,707 290,122 145,061 435,184 217,592 108,796 54,398 27,199

More profiles

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