λ
Harmonic Matrix

7,088,041

7088041
Deficient Odd Prime

7,088,041 has digital root 1. The neighboring primes are 7088021 and 7088047; its proper-divisor sum differs from the starting integer by -7,088,040.

Prime Factor Structure

Factorization String 7088041
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,088,042
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7088021 ← → #7088047

Radix Representation

Decimal 7088041
Binary 11011000010011110101001 (23 bits)
Octal 0o33023651
Hexadecimal 0x6C27A9

Divisor Catalog (2)

Collatz Trajectory (129 steps to reach 1)

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

7,088,041 21,264,124 10,632,062 5,316,031 15,948,094 7,974,047 23,922,142 11,961,071 35,883,214 17,941,607 53,824,822 26,912,411 80,737,234 40,368,617 121,105,852 60,552,926 30,276,463 90,829,390 45,414,695 136,244,086 68,122,043 204,366,130 102,183,065 306,549,196 153,274,598 76,637,299 229,911,898 114,955,949 344,867,848 172,433,924 86,216,962 43,108,481 129,325,444 64,662,722 32,331,361 96,994,084 48,497,042 24,248,521 72,745,564 36,372,782 18,186,391 54,559,174 27,279,587 81,838,762 40,919,381 122,758,144 61,379,072 30,689,536 15,344,768 7,672,384 3,836,192 1,918,096 959,048 479,524 239,762 119,881 359,644 179,822 89,911 269,734

More profiles

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