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Atlas › Integer Profiles › Node 87,513,776

87,513,776

24 × 7 × 263 × 2971
Abundant Even Composite

87,513,776 factors as 2^4 × 7 × 263 × 2971. Its 40 positive divisors give a proper-divisor sum of 107,069,008, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 263 × 2971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 194,582,784
Proper Divisor Sum 107,069,008
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #87513763 ← → #87513799

Radix Representation

Decimal 87513776
Binary 101001101110101101010110000 (27 bits)
Octal 0o515655260
Hexadecimal 0x5375AB0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 263 526 1,052 1,841 2,104 2,971 3,682 4,208 5,942 7,364 11,884 14,728 20,797 23,768 29,456 41,594 47,536 83,188 166,376 332,752 781,373 1,562,746 3,125,492 5,469,611 6,250,984 10,939,222 12,501,968 21,878,444 43,756,888 87,513,776

Collatz Trajectory (223 steps to reach 1)

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

87,513,776 43,756,888 21,878,444 10,939,222 5,469,611 16,408,834 8,204,417 24,613,252 12,306,626 6,153,313 18,459,940 9,229,970 4,614,985 13,844,956 6,922,478 3,461,239 10,383,718 5,191,859 15,575,578 7,787,789 23,363,368 11,681,684 5,840,842 2,920,421 8,761,264 4,380,632 2,190,316 1,095,158 547,579 1,642,738 821,369 2,464,108 1,232,054 616,027 1,848,082 924,041 2,772,124 1,386,062 693,031 2,079,094 1,039,547 3,118,642 1,559,321 4,677,964 2,338,982 1,169,491 3,508,474 1,754,237 5,262,712 2,631,356 1,315,678 657,839 1,973,518 986,759 2,960,278 1,480,139 4,440,418 2,220,209 6,660,628 3,330,314

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