1,706,432

2⁶ × 7 × 13 × 293

Starting at 1,706,432, the Collatz iteration reaches 1 after 75 steps. The first transition is 853216; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 7 × 13 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 4,181,856

Proper Divisor Sum 2,475,424

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1706417 ← → #1706437

Radix Representation

Decimal	1706432
Binary	110100000100111000000 (21 bits)
Octal	0o6404700
Hexadecimal	0x1A09C0

Divisor Catalog (56)

1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 293 364 416 448 586 728 832 1,172 1,456 2,051 2,344 2,912 3,809 4,102 4,688 5,824 7,618 8,204 9,376 15,236 16,408 18,752 26,663 30,472 32,816 53,326 60,944 65,632 106,652 121,888 131,264 213,304 243,776 426,608 853,216 1,706,432

Collatz Trajectory (75 steps to reach 1)

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

1,706,432 853,216 426,608 213,304 106,652 53,326 26,663 79,990 39,995 119,986 59,993 179,980 89,990 44,995 134,986 67,493 202,480 101,240 50,620 25,310 12,655 37,966 18,983 56,950 28,475 85,426 42,713 128,140 64,070 32,035 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808

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