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Atlas › Integer Profiles › Node 15,768,376

15,768,376

23 × 132 × 107 × 109
Abundant Even Composite

15,768,376 factors as 2^3 × 13^2 × 107 × 109. Its 48 positive divisors give a proper-divisor sum of 16,842,224, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 107 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,610,600
Proper Divisor Sum 16,842,224
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #15768353 ← → #15768407

Radix Representation

Decimal 15768376
Binary 111100001001101100111000 (24 bits)
Octal 0o74115470
Hexadecimal 0xF09B38

Divisor Catalog (48)

1 2 4 8 13 26 52 104 107 109 169 214 218 338 428 436 676 856 872 1,352 1,391 1,417 2,782 2,834 5,564 5,668 11,128 11,336 11,663 18,083 18,421 23,326 36,166 36,842 46,652 72,332 73,684 93,304 144,664 147,368 151,619 303,238 606,476 1,212,952 1,971,047 3,942,094 7,884,188 15,768,376

Collatz Trajectory (148 steps to reach 1)

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

15,768,376 7,884,188 3,942,094 1,971,047 5,913,142 2,956,571 8,869,714 4,434,857 13,304,572 6,652,286 3,326,143 9,978,430 4,989,215 14,967,646 7,483,823 22,451,470 11,225,735 33,677,206 16,838,603 50,515,810 25,257,905 75,773,716 37,886,858 18,943,429 56,830,288 28,415,144 14,207,572 7,103,786 3,551,893 10,655,680 5,327,840 2,663,920 1,331,960 665,980 332,990 166,495 499,486 249,743 749,230 374,615 1,123,846 561,923 1,685,770 842,885 2,528,656 1,264,328 632,164 316,082 158,041 474,124 237,062 118,531 355,594 177,797 533,392 266,696 133,348 66,674 33,337 100,012

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