948,977

47 × 61 × 331

948,977 factors as 47 × 61 × 331. Its 8 positive divisors give a proper-divisor sum of 39,055, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 47 × 61 × 331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 988,032

Proper Divisor Sum 39,055

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #948973 ← → #948989

Radix Representation

Decimal	948977
Binary	11100111101011110001 (20 bits)
Octal	0o3475361
Hexadecimal	0xE7AF1

Divisor Catalog (8)

1 47 61 331 2,867 15,557 20,191 948,977

Collatz Trajectory (126 steps to reach 1)

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

948,977 2,846,932 1,423,466 711,733 2,135,200 1,067,600 533,800 266,900 133,450 66,725 200,176 100,088 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006

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