λ
Sigma Notebook

7,852,948

22 × 47 × 41771
Deficient Even Composite

7,852,948 is even and not a perfect square. Its factorization is 2^2 × 47 × 41771 and its 12 divisors sum to 14,035,392.

Prime Factor Structure

Factorization String 2^2 × 47 × 41771
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,035,392
Proper Divisor Sum 6,182,444
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7852937 ← → #7852969

Radix Representation

Decimal 7852948
Binary 11101111101001110010100 (23 bits)
Octal 0o35751624
Hexadecimal 0x77D394

Divisor Catalog (12)

1 2 4 47 94 188 41,771 83,542 167,084 1,963,237 3,926,474 7,852,948

Collatz Trajectory (199 steps to reach 1)

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

7,852,948 3,926,474 1,963,237 5,889,712 2,944,856 1,472,428 736,214 368,107 1,104,322 552,161 1,656,484 828,242 414,121 1,242,364 621,182 310,591 931,774 465,887 1,397,662 698,831 2,096,494 1,048,247 3,144,742 1,572,371 4,717,114 2,358,557 7,075,672 3,537,836 1,768,918 884,459 2,653,378 1,326,689 3,980,068 1,990,034 995,017 2,985,052 1,492,526 746,263 2,238,790 1,119,395 3,358,186 1,679,093 5,037,280 2,518,640 1,259,320 629,660 314,830 157,415 472,246 236,123 708,370 354,185 1,062,556 531,278 265,639 796,918 398,459 1,195,378 597,689 1,793,068

More profiles

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