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Atlas › Integer Profiles › Node 4,536,760

4,536,760

23 × 5 × 29 × 3911
Abundant Even Composite

4,536,760 factors as 2^3 × 5 × 29 × 3911. Its 32 positive divisors give a proper-divisor sum of 6,025,640, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 3911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,562,400
Proper Divisor Sum 6,025,640
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4536703 ← → #4536761

Radix Representation

Decimal 4536760
Binary 10001010011100110111000 (23 bits)
Octal 0o21234670
Hexadecimal 0x4539B8

Divisor Catalog (32)

1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1,160 3,911 7,822 15,644 19,555 31,288 39,110 78,220 113,419 156,440 226,838 453,676 567,095 907,352 1,134,190 2,268,380 4,536,760

Collatz Trajectory (87 steps to reach 1)

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

4,536,760 2,268,380 1,134,190 567,095 1,701,286 850,643 2,551,930 1,275,965 3,827,896 1,913,948 956,974 478,487 1,435,462 717,731 2,153,194 1,076,597 3,229,792 1,614,896 807,448 403,724 201,862 100,931 302,794 151,397 454,192 227,096 113,548 56,774 28,387 85,162 42,581 127,744 63,872 31,936 15,968 7,984 3,992 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808

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