1,973,875

5³ × 15791

Starting at 1,973,875, the Collatz iteration reaches 1 after 184 steps. The first transition is 5921626; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 15791

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,463,552

Proper Divisor Sum 489,677

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #1973857 ← → #1973893

Radix Representation

Decimal	1973875
Binary	111100001111001110011 (21 bits)
Octal	0o7417163
Hexadecimal	0x1E1E73

Divisor Catalog (8)

1 5 25 125 15,791 78,955 394,775 1,973,875

Collatz Trajectory (184 steps to reach 1)

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

1,973,875 5,921,626 2,960,813 8,882,440 4,441,220 2,220,610 1,110,305 3,330,916 1,665,458 832,729 2,498,188 1,249,094 624,547 1,873,642 936,821 2,810,464 1,405,232 702,616 351,308 175,654 87,827 263,482 131,741 395,224 197,612 98,806 49,403 148,210 74,105 222,316 111,158 55,579 166,738 83,369 250,108 125,054 62,527 187,582 93,791 281,374 140,687 422,062 211,031 633,094 316,547 949,642 474,821 1,424,464 712,232 356,116 178,058 89,029 267,088 133,544 66,772 33,386 16,693 50,080 25,040 12,520

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