λ
Sigma Notebook

7,891,372

22 × 463 × 4261
Deficient Even Composite

7,891,372 is even and not a perfect square. Its factorization is 2^2 × 463 × 4261 and its 12 divisors sum to 13,842,976.

Prime Factor Structure

Factorization String 2^2 × 463 × 4261
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,842,976
Proper Divisor Sum 5,951,604
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7891361 ← → #7891379

Radix Representation

Decimal 7891372
Binary 11110000110100110101100 (23 bits)
Octal 0o36064654
Hexadecimal 0x7869AC

Divisor Catalog (12)

1 2 4 463 926 1,852 4,261 8,522 17,044 1,972,843 3,945,686 7,891,372

Collatz Trajectory (67 steps to reach 1)

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

7,891,372 3,945,686 1,972,843 5,918,530 2,959,265 8,877,796 4,438,898 2,219,449 6,658,348 3,329,174 1,664,587 4,993,762 2,496,881 7,490,644 3,745,322 1,872,661 5,617,984 2,808,992 1,404,496 702,248 351,124 175,562 87,781 263,344 131,672 65,836 32,918 16,459 49,378 24,689 74,068 37,034 18,517 55,552 27,776 13,888 6,944 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40

More profiles

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