1,917,632

2⁶ × 19² × 83

Starting at 1,917,632, the Collatz iteration reaches 1 after 171 steps. The first transition is 958816; the starting value is even with 42 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 19^2 × 83

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 4,064,508

Proper Divisor Sum 2,146,876

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1917631 ← → #1917653

Radix Representation

Decimal	1917632
Binary	111010100001011000000 (21 bits)
Octal	0o7241300
Hexadecimal	0x1D42C0

Divisor Catalog (42)

1 2 4 8 16 19 32 38 64 76 83 152 166 304 332 361 608 664 722 1,216 1,328 1,444 1,577 2,656 2,888 3,154 5,312 5,776 6,308 11,552 12,616 23,104 25,232 29,963 50,464 59,926 100,928 119,852 239,704 479,408 958,816 1,917,632

Collatz Trajectory (171 steps to reach 1)

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

1,917,632 958,816 479,408 239,704 119,852 59,926 29,963 89,890 44,945 134,836 67,418 33,709 101,128 50,564 25,282 12,641 37,924 18,962 9,481 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170

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