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Atlas › Integer Profiles › Node 2,175,408

2,175,408

24 × 32 × 15107
Abundant Even Composite

2,175,408 factors as 2^4 × 3^2 × 15107. Its 30 positive divisors give a proper-divisor sum of 3,913,116, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 15107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 6,088,524
Proper Divisor Sum 3,913,116
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2175391 ← → #2175431

Radix Representation

Decimal 2175408
Binary 1000010011000110110000 (22 bits)
Octal 0o10230660
Hexadecimal 0x2131B0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15,107 30,214 45,321 60,428 90,642 120,856 135,963 181,284 241,712 271,926 362,568 543,852 725,136 1,087,704 2,175,408

Collatz Trajectory (210 steps to reach 1)

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

2,175,408 1,087,704 543,852 271,926 135,963 407,890 203,945 611,836 305,918 152,959 458,878 229,439 688,318 344,159 1,032,478 516,239 1,548,718 774,359 2,323,078 1,161,539 3,484,618 1,742,309 5,226,928 2,613,464 1,306,732 653,366 326,683 980,050 490,025 1,470,076 735,038 367,519 1,102,558 551,279 1,653,838 826,919 2,480,758 1,240,379 3,721,138 1,860,569 5,581,708 2,790,854 1,395,427 4,186,282 2,093,141 6,279,424 3,139,712 1,569,856 784,928 392,464 196,232 98,116 49,058 24,529 73,588 36,794 18,397 55,192 27,596 13,798

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