7,322,007

3 × 7 × 11 × 29 × 1093

7,322,007 has digital root 3. The neighboring primes are 7321987 and 7322023; its proper-divisor sum differs from the starting integer by -2,041,134.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 29 × 1093

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,602,880

Proper Divisor Sum 5,280,873

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7321987 ← → #7322023

Radix Representation

Decimal	7322007
Binary	11011111011100110010111 (23 bits)
Octal	0o33734627
Hexadecimal	0x6FB997

Divisor Catalog (32)

1 3 7 11 21 29 33 77 87 203 231 319 609 957 1,093 2,233 3,279 6,699 7,651 12,023 22,953 31,697 36,069 84,161 95,091 221,879 252,483 348,667 665,637 1,046,001 2,440,669 7,322,007

Collatz Trajectory (59 steps to reach 1)

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

7,322,007 21,966,022 10,983,011 32,949,034 16,474,517 49,423,552 24,711,776 12,355,888 6,177,944 3,088,972 1,544,486 772,243 2,316,730 1,158,365 3,475,096 1,737,548 868,774 434,387 1,303,162 651,581 1,954,744 977,372 488,686 244,343 733,030 366,515 1,099,546 549,773 1,649,320 824,660 412,330 206,165 618,496 309,248 154,624 77,312 38,656 19,328 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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