958,001

11 × 17 × 47 × 109

For 958,001, the 16 positive divisors have a total of 1,140,480. Removing 958,001 leaves 182,479, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 17 × 47 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,140,480

Proper Divisor Sum 182,479

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #957991 ← → #958007

Radix Representation

Decimal	958001
Binary	11101001111000110001 (20 bits)
Octal	0o3517061
Hexadecimal	0xE9E31

Divisor Catalog (16)

1 11 17 47 109 187 517 799 1,199 1,853 5,123 8,789 20,383 56,353 87,091 958,001

Collatz Trajectory (170 steps to reach 1)

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

958,001 2,874,004 1,437,002 718,501 2,155,504 1,077,752 538,876 269,438 134,719 404,158 202,079 606,238 303,119 909,358 454,679 1,364,038 682,019 2,046,058 1,023,029 3,069,088 1,534,544 767,272 383,636 191,818 95,909 287,728 143,864 71,932 35,966 17,983 53,950 26,975 80,926 40,463 121,390 60,695 182,086 91,043 273,130 136,565 409,696 204,848 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013

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