λ
Integer Codex

1,027,153

1027153
Deficient Odd Prime

For 1,027,153, the 2 positive divisors have a total of 1,027,154. Removing 1,027,153 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1027153
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,027,154
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1027139 ← → #1027163

Radix Representation

Decimal 1027153
Binary 11111010110001010001 (20 bits)
Octal 0o3726121
Hexadecimal 0xFAC51

Divisor Catalog (2)

Collatz Trajectory (103 steps to reach 1)

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

1,027,153 3,081,460 1,540,730 770,365 2,311,096 1,155,548 577,774 288,887 866,662 433,331 1,299,994 649,997 1,949,992 974,996 487,498 243,749 731,248 365,624 182,812 91,406 45,703 137,110 68,555 205,666 102,833 308,500 154,250 77,125 231,376 115,688 57,844 28,922 14,461 43,384 21,692 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517

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