λ
Harmonic Matrix

4,207,097

4207097
Deficient Odd Prime

4,207,097 has digital root 2. The neighboring primes are 4207079 and 4207139; its proper-divisor sum differs from the starting integer by -4,207,096.

Prime Factor Structure

Factorization String 4207097
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,207,098
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4207079 ← → #4207139

Radix Representation

Decimal 4207097
Binary 10000000011000111111001 (23 bits)
Octal 0o20030771
Hexadecimal 0x4031F9

Divisor Catalog (2)

1 4,207,097

Collatz Trajectory (136 steps to reach 1)

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

4,207,097 12,621,292 6,310,646 3,155,323 9,465,970 4,732,985 14,198,956 7,099,478 3,549,739 10,649,218 5,324,609 15,973,828 7,986,914 3,993,457 11,980,372 5,990,186 2,995,093 8,985,280 4,492,640 2,246,320 1,123,160 561,580 280,790 140,395 421,186 210,593 631,780 315,890 157,945 473,836 236,918 118,459 355,378 177,689 533,068 266,534 133,267 399,802 199,901 599,704 299,852 149,926 74,963 224,890 112,445 337,336 168,668 84,334 42,167 126,502 63,251 189,754 94,877 284,632 142,316 71,158 35,579 106,738 53,369 160,108

More profiles

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