9,742,761

3⁴ × 7 × 17183

For 9,742,761, the 20 positive divisors have a total of 16,634,112. Removing 9,742,761 leaves 6,891,351, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 7 × 17183

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,634,112

Proper Divisor Sum 6,891,351

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9742757 ← → #9742793

Radix Representation

Decimal	9742761
Binary	100101001010100110101001 (24 bits)
Octal	0o45124651
Hexadecimal	0x94A9A9

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 17,183 51,549 120,281 154,647 360,843 463,941 1,082,529 1,391,823 3,247,587 9,742,761

Collatz Trajectory (207 steps to reach 1)

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

9,742,761 29,228,284 14,614,142 7,307,071 21,921,214 10,960,607 32,881,822 16,440,911 49,322,734 24,661,367 73,984,102 36,992,051 110,976,154 55,488,077 166,464,232 83,232,116 41,616,058 20,808,029 62,424,088 31,212,044 15,606,022 7,803,011 23,409,034 11,704,517 35,113,552 17,556,776 8,778,388 4,389,194 2,194,597 6,583,792 3,291,896 1,645,948 822,974 411,487 1,234,462 617,231 1,851,694 925,847 2,777,542 1,388,771 4,166,314 2,083,157 6,249,472 3,124,736 1,562,368 781,184 390,592 195,296 97,648 48,824 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300

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