1,547,104

2⁵ × 13 × 3719

Starting at 1,547,104, the Collatz iteration reaches 1 after 132 steps. The first transition is 773552; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 13 × 3719

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,281,040

Proper Divisor Sum 1,733,936

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1547101 ← → #1547129

Radix Representation

Decimal	1547104
Binary	101111001101101100000 (21 bits)
Octal	0o5715540
Hexadecimal	0x179B60

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 3,719 7,438 14,876 29,752 48,347 59,504 96,694 119,008 193,388 386,776 773,552 1,547,104

Collatz Trajectory (132 steps to reach 1)

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

1,547,104 773,552 386,776 193,388 96,694 48,347 145,042 72,521 217,564 108,782 54,391 163,174 81,587 244,762 122,381 367,144 183,572 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913

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