2,652,988

2² × 13 × 163 × 313

2,652,988 has digital root 4. The neighboring primes are 2652983 and 2652997; its proper-divisor sum differs from the starting integer by -259,368.

Prime Factor Structure

Factorization String 2^2 × 13 × 163 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,046,608

Proper Divisor Sum 2,393,620

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #2652983 ← → #2652997

Radix Representation

Decimal	2652988
Binary	1010000111101100111100 (22 bits)
Octal	0o12075474
Hexadecimal	0x287B3C

Divisor Catalog (24)

1 2 4 13 26 52 163 313 326 626 652 1,252 2,119 4,069 4,238 8,138 8,476 16,276 51,019 102,038 204,076 663,247 1,326,494 2,652,988

Collatz Trajectory (218 steps to reach 1)

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

2,652,988 1,326,494 663,247 1,989,742 994,871 2,984,614 1,492,307 4,476,922 2,238,461 6,715,384 3,357,692 1,678,846 839,423 2,518,270 1,259,135 3,777,406 1,888,703 5,666,110 2,833,055 8,499,166 4,249,583 12,748,750 6,374,375 19,123,126 9,561,563 28,684,690 14,342,345 43,027,036 21,513,518 10,756,759 32,270,278 16,135,139 48,405,418 24,202,709 72,608,128 36,304,064 18,152,032 9,076,016 4,538,008 2,269,004 1,134,502 567,251 1,701,754 850,877 2,552,632 1,276,316 638,158 319,079 957,238 478,619 1,435,858 717,929 2,153,788 1,076,894 538,447 1,615,342 807,671 2,423,014 1,211,507 3,634,522

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