λ
Integer Codex

2,152,501

13 × 232 × 313
Deficient Odd Composite

For 2,152,501, the 12 positive divisors have a total of 2,430,988. Removing 2,152,501 leaves 278,487, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 23^2 × 313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,430,988
Proper Divisor Sum 278,487
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2152499 ← → #2152511

Radix Representation

Decimal 2152501
Binary 1000001101100000110101 (22 bits)
Octal 0o10154065
Hexadecimal 0x20D835

Divisor Catalog (12)

1 13 23 299 313 529 4,069 6,877 7,199 93,587 165,577 2,152,501

Collatz Trajectory (73 steps to reach 1)

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

2,152,501 6,457,504 3,228,752 1,614,376 807,188 403,594 201,797 605,392 302,696 151,348 75,674 37,837 113,512 56,756 28,378 14,189 42,568 21,284 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11

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