7,001,337

3 × 7 × 333397

7,001,337 has digital root 3. The neighboring primes are 7001327 and 7001341; its proper-divisor sum differs from the starting integer by -3,333,938.

Prime Factor Structure

Factorization String 3 × 7 × 333397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,668,736

Proper Divisor Sum 3,667,399

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7001327 ← → #7001341

Radix Representation

Decimal	7001337
Binary	11010101101010011111001 (23 bits)
Octal	0o32552371
Hexadecimal	0x6AD4F9

Divisor Catalog (8)

1 3 7 21 333,397 1,000,191 2,333,779 7,001,337

Collatz Trajectory (72 steps to reach 1)

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

7,001,337 21,004,012 10,502,006 5,251,003 15,753,010 7,876,505 23,629,516 11,814,758 5,907,379 17,722,138 8,861,069 26,583,208 13,291,604 6,645,802 3,322,901 9,968,704 4,984,352 2,492,176 1,246,088 623,044 311,522 155,761 467,284 233,642 116,821 350,464 175,232 87,616 43,808 21,904 10,952 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35

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