λ
Integer Codex

1,752,197

1752197
Deficient Odd Prime

For 1,752,197, the 2 positive divisors have a total of 1,752,198. Removing 1,752,197 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1752197
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,752,198
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1752193 ← → #1752211

Radix Representation

Decimal 1752197
Binary 110101011110010000101 (21 bits)
Octal 0o6536205
Hexadecimal 0x1ABC85

Divisor Catalog (2)

1 1,752,197

Collatz Trajectory (145 steps to reach 1)

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

1,752,197 5,256,592 2,628,296 1,314,148 657,074 328,537 985,612 492,806 246,403 739,210 369,605 1,108,816 554,408 277,204 138,602 69,301 207,904 103,952 51,976 25,988 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310

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