2,888,847

3² × 13 × 24691

2,888,847 factors as 3^2 × 13 × 24691. Its 12 positive divisors give a proper-divisor sum of 1,605,097, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 24691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,493,944

Proper Divisor Sum 1,605,097

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #2888843 ← → #2888863

Radix Representation

Decimal	2888847
Binary	1011000001010010001111 (22 bits)
Octal	0o13012217
Hexadecimal	0x2C148F

Divisor Catalog (12)

1 3 9 13 39 117 24,691 74,073 222,219 320,983 962,949 2,888,847

Collatz Trajectory (257 steps to reach 1)

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

2,888,847 8,666,542 4,333,271 12,999,814 6,499,907 19,499,722 9,749,861 29,249,584 14,624,792 7,312,396 3,656,198 1,828,099 5,484,298 2,742,149 8,226,448 4,113,224 2,056,612 1,028,306 514,153 1,542,460 771,230 385,615 1,156,846 578,423 1,735,270 867,635 2,602,906 1,301,453 3,904,360 1,952,180 976,090 488,045 1,464,136 732,068 366,034 183,017 549,052 274,526 137,263 411,790 205,895 617,686 308,843 926,530 463,265 1,389,796 694,898 347,449 1,042,348 521,174 260,587 781,762 390,881 1,172,644 586,322 293,161 879,484 439,742 219,871 659,614

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