9,742,513

11 × 17 × 53 × 983

Starting at 9,742,513, the Collatz iteration reaches 1 after 207 steps. The first transition is 29227540; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 17 × 53 × 983

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,477,376

Proper Divisor Sum 1,734,863

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9742511 ← → #9742541

Radix Representation

Decimal	9742513
Binary	100101001010100010110001 (24 bits)
Octal	0o45124261
Hexadecimal	0x94A8B1

Divisor Catalog (16)

1 11 17 53 187 583 901 983 9,911 10,813 16,711 52,099 183,821 573,089 885,683 9,742,513

Collatz Trajectory (207 steps to reach 1)

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

9,742,513 29,227,540 14,613,770 7,306,885 21,920,656 10,960,328 5,480,164 2,740,082 1,370,041 4,110,124 2,055,062 1,027,531 3,082,594 1,541,297 4,623,892 2,311,946 1,155,973 3,467,920 1,733,960 866,980 433,490 216,745 650,236 325,118 162,559 487,678 243,839 731,518 365,759 1,097,278 548,639 1,645,918 822,959 2,468,878 1,234,439 3,703,318 1,851,659 5,554,978 2,777,489 8,332,468 4,166,234 2,083,117 6,249,352 3,124,676 1,562,338 781,169 2,343,508 1,171,754 585,877 1,757,632 878,816 439,408 219,704 109,852 54,926 27,463 82,390 41,195 123,586 61,793

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