13,645,148

2² × 11 × 310117

13,645,148 factors as 2^2 × 11 × 310117. Its 12 positive divisors give a proper-divisor sum of 12,404,764, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 310117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 26,049,912

Proper Divisor Sum 12,404,764

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #13645127 ← → #13645157

Radix Representation

Decimal	13645148
Binary	110100000011010101011100 (24 bits)
Octal	0o64032534
Hexadecimal	0xD0355C

Divisor Catalog (12)

1 2 4 11 22 44 310,117 620,234 1,240,468 3,411,287 6,822,574 13,645,148

Collatz Trajectory (78 steps to reach 1)

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

13,645,148 6,822,574 3,411,287 10,233,862 5,116,931 15,350,794 7,675,397 23,026,192 11,513,096 5,756,548 2,878,274 1,439,137 4,317,412 2,158,706 1,079,353 3,238,060 1,619,030 809,515 2,428,546 1,214,273 3,642,820 1,821,410 910,705 2,732,116 1,366,058 683,029 2,049,088 1,024,544 512,272 256,136 128,068 64,034 32,017 96,052 48,026 24,013 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410

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