415,441

13 × 31957

415,441 factors as 13 × 31957. Its 4 positive divisors give a proper-divisor sum of 31,971, so this integer is deficient. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 13 × 31957

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 447,412

Proper Divisor Sum 31,971

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #415427 ← → #415447

Radix Representation

Decimal	415441
Binary	1100101011011010001 (19 bits)
Octal	0o1453321
Hexadecimal	0x656D1

Divisor Catalog (4)

1 13 31,957 415,441

Collatz Trajectory (236 steps to reach 1)

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

415,441 1,246,324 623,162 311,581 934,744 467,372 233,686 116,843 350,530 175,265 525,796 262,898 131,449 394,348 197,174 98,587 295,762 147,881 443,644 221,822 110,911 332,734 166,367 499,102 249,551 748,654 374,327 1,122,982 561,491 1,684,474 842,237 2,526,712 1,263,356 631,678 315,839 947,518 473,759 1,421,278 710,639 2,131,918 1,065,959 3,197,878 1,598,939 4,796,818 2,398,409 7,195,228 3,597,614 1,798,807 5,396,422 2,698,211 8,094,634 4,047,317 12,141,952 6,070,976 3,035,488 1,517,744 758,872 379,436 189,718 94,859

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