4,359,873

3 × 7³ × 19 × 223

Starting at 4,359,873, the Collatz iteration reaches 1 after 105 steps. The first transition is 13079620; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^3 × 19 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,168,000

Proper Divisor Sum 2,808,127

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4359863 ← → #4359937

Radix Representation

Decimal	4359873
Binary	10000101000011011000001 (23 bits)
Octal	0o20503301
Hexadecimal	0x4286C1

Divisor Catalog (32)

1 3 7 19 21 49 57 133 147 223 343 399 669 931 1,029 1,561 2,793 4,237 4,683 6,517 10,927 12,711 19,551 29,659 32,781 76,489 88,977 207,613 229,467 622,839 1,453,291 4,359,873

Collatz Trajectory (105 steps to reach 1)

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

4,359,873 13,079,620 6,539,810 3,269,905 9,809,716 4,904,858 2,452,429 7,357,288 3,678,644 1,839,322 919,661 2,758,984 1,379,492 689,746 344,873 1,034,620 517,310 258,655 775,966 387,983 1,163,950 581,975 1,745,926 872,963 2,618,890 1,309,445 3,928,336 1,964,168 982,084 491,042 245,521 736,564 368,282 184,141 552,424 276,212 138,106 69,053 207,160 103,580 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609

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