1,397,415

3 × 5 × 59 × 1579

1,397,415 factors as 3 × 5 × 59 × 1579. Its 16 positive divisors give a proper-divisor sum of 877,785, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 5 × 59 × 1579

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,275,200

Proper Divisor Sum 877,785

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1397359 ← → #1397437

Radix Representation

Decimal	1397415
Binary	101010101001010100111 (21 bits)
Octal	0o5251247
Hexadecimal	0x1552A7

Divisor Catalog (16)

1 3 5 15 59 177 295 885 1,579 4,737 7,895 23,685 93,161 279,483 465,805 1,397,415

Collatz Trajectory (137 steps to reach 1)

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

1,397,415 4,192,246 2,096,123 6,288,370 3,144,185 9,432,556 4,716,278 2,358,139 7,074,418 3,537,209 10,611,628 5,305,814 2,652,907 7,958,722 3,979,361 11,938,084 5,969,042 2,984,521 8,953,564 4,476,782 2,238,391 6,715,174 3,357,587 10,072,762 5,036,381 15,109,144 7,554,572 3,777,286 1,888,643 5,665,930 2,832,965 8,498,896 4,249,448 2,124,724 1,062,362 531,181 1,593,544 796,772 398,386 199,193 597,580 298,790 149,395 448,186 224,093 672,280 336,140 168,070 84,035 252,106 126,053 378,160 189,080 94,540 47,270 23,635 70,906 35,453 106,360 53,180

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