9,973,592

2³ × 43 × 79 × 367

Starting at 9,973,592, the Collatz iteration reaches 1 after 238 steps. The first transition is 4986796; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 43 × 79 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,430,400

Proper Divisor Sum 9,456,808

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9973591 ← → #9973597

Radix Representation

Decimal	9973592
Binary	100110000010111101011000 (24 bits)
Octal	0o46027530
Hexadecimal	0x982F58

Divisor Catalog (32)

1 2 4 8 43 79 86 158 172 316 344 367 632 734 1,468 2,936 3,397 6,794 13,588 15,781 27,176 28,993 31,562 57,986 63,124 115,972 126,248 231,944 1,246,699 2,493,398 4,986,796 9,973,592

Collatz Trajectory (238 steps to reach 1)

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

9,973,592 4,986,796 2,493,398 1,246,699 3,740,098 1,870,049 5,610,148 2,805,074 1,402,537 4,207,612 2,103,806 1,051,903 3,155,710 1,577,855 4,733,566 2,366,783 7,100,350 3,550,175 10,650,526 5,325,263 15,975,790 7,987,895 23,963,686 11,981,843 35,945,530 17,972,765 53,918,296 26,959,148 13,479,574 6,739,787 20,219,362 10,109,681 30,329,044 15,164,522 7,582,261 22,746,784 11,373,392 5,686,696 2,843,348 1,421,674 710,837 2,132,512 1,066,256 533,128 266,564 133,282 66,641 199,924 99,962 49,981 149,944 74,972 37,486 18,743 56,230 28,115 84,346 42,173 126,520 63,260

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