λ
Prime Ledger

7,971,424

25 × 249107
Deficient Even Composite

7,971,424 has the prime decomposition 2^5 × 249107. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 249107
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,693,804
Proper Divisor Sum 7,722,380
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7971413 ← → #7971443

Radix Representation

Decimal 7971424
Binary 11110011010001001100000 (23 bits)
Octal 0o36321140
Hexadecimal 0x79A260

Divisor Catalog (12)

1 2 4 8 16 32 249,107 498,214 996,428 1,992,856 3,985,712 7,971,424

Collatz Trajectory (142 steps to reach 1)

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

7,971,424 3,985,712 1,992,856 996,428 498,214 249,107 747,322 373,661 1,120,984 560,492 280,246 140,123 420,370 210,185 630,556 315,278 157,639 472,918 236,459 709,378 354,689 1,064,068 532,034 266,017 798,052 399,026 199,513 598,540 299,270 149,635 448,906 224,453 673,360 336,680 168,340 84,170 42,085 126,256 63,128 31,564 15,782 7,891 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405

More profiles

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