15,123,772

2² × 19 × 198997

15,123,772 factors as 2^2 × 19 × 198997. Its 12 positive divisors give a proper-divisor sum of 12,735,948, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 198997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 27,859,720

Proper Divisor Sum 12,735,948

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #15123769 ← → #15123821

Radix Representation

Decimal	15123772
Binary	111001101100010100111100 (24 bits)
Octal	0o71542474
Hexadecimal	0xE6C53C

Divisor Catalog (12)

1 2 4 19 38 76 198,997 397,994 795,988 3,780,943 7,561,886 15,123,772

Collatz Trajectory (143 steps to reach 1)

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

15,123,772 7,561,886 3,780,943 11,342,830 5,671,415 17,014,246 8,507,123 25,521,370 12,760,685 38,282,056 19,141,028 9,570,514 4,785,257 14,355,772 7,177,886 3,588,943 10,766,830 5,383,415 16,150,246 8,075,123 24,225,370 12,112,685 36,338,056 18,169,028 9,084,514 4,542,257 13,626,772 6,813,386 3,406,693 10,220,080 5,110,040 2,555,020 1,277,510 638,755 1,916,266 958,133 2,874,400 1,437,200 718,600 359,300 179,650 89,825 269,476 134,738 67,369 202,108 101,054 50,527 151,582 75,791 227,374 113,687 341,062 170,531 511,594 255,797 767,392 383,696 191,848 95,924

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