λ
Harmonic Matrix

7,051,671

33 × 11 × 23743
Deficient Odd Composite

7,051,671 has digital root 9. The neighboring primes are 7051643 and 7051673; its proper-divisor sum differs from the starting integer by -2,706,222.

Prime Factor Structure

Factorization String 3^3 × 11 × 23743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,397,120
Proper Divisor Sum 4,345,449
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7051643 ← → #7051673

Radix Representation

Decimal 7051671
Binary 11010111001100110010111 (23 bits)
Octal 0o32714627
Hexadecimal 0x6B9997

Divisor Catalog (16)

1 3 9 11 27 33 99 297 23,743 71,229 213,687 261,173 641,061 783,519 2,350,557 7,051,671

Collatz Trajectory (129 steps to reach 1)

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

7,051,671 21,155,014 10,577,507 31,732,522 15,866,261 47,598,784 23,799,392 11,899,696 5,949,848 2,974,924 1,487,462 743,731 2,231,194 1,115,597 3,346,792 1,673,396 836,698 418,349 1,255,048 627,524 313,762 156,881 470,644 235,322 117,661 352,984 176,492 88,246 44,123 132,370 66,185 198,556 99,278 49,639 148,918 74,459 223,378 111,689 335,068 167,534 83,767 251,302 125,651 376,954 188,477 565,432 282,716 141,358 70,679 212,038 106,019 318,058 159,029 477,088 238,544 119,272 59,636 29,818 14,909 44,728

More profiles

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