415,264

2⁵ × 19 × 683

Starting at 415,264, the Collatz iteration reaches 1 after 55 steps. The first transition is 207632; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 19 × 683

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 861,840

Proper Divisor Sum 446,576

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #415253 ← → #415271

Radix Representation

Decimal	415264
Binary	1100101011000100000 (19 bits)
Octal	0o1453040
Hexadecimal	0x65620

Divisor Catalog (24)

1 2 4 8 16 19 32 38 76 152 304 608 683 1,366 2,732 5,464 10,928 12,977 21,856 25,954 51,908 103,816 207,632 415,264

Collatz Trajectory (55 steps to reach 1)

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

415,264 207,632 103,816 51,908 25,954 12,977 38,932 19,466 9,733 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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