9,672,377

11³ × 13² × 43

9,672,377 has digital root 5. The neighboring primes are 9672373 and 9672389; its proper-divisor sum differs from the starting integer by -7,556,626.

Prime Factor Structure

Factorization String 11^3 × 13^2 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,788,128

Proper Divisor Sum 2,115,751

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9672373 ← → #9672389

Radix Representation

Decimal	9672377
Binary	100100111001011010111001 (24 bits)
Octal	0o44713271
Hexadecimal	0x9396B9

Divisor Catalog (24)

1 11 13 43 121 143 169 473 559 1,331 1,573 1,859 5,203 6,149 7,267 17,303 20,449 57,233 67,639 79,937 224,939 744,029 879,307 9,672,377

Collatz Trajectory (119 steps to reach 1)

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

9,672,377 29,017,132 14,508,566 7,254,283 21,762,850 10,881,425 32,644,276 16,322,138 8,161,069 24,483,208 12,241,604 6,120,802 3,060,401 9,181,204 4,590,602 2,295,301 6,885,904 3,442,952 1,721,476 860,738 430,369 1,291,108 645,554 322,777 968,332 484,166 242,083 726,250 363,125 1,089,376 544,688 272,344 136,172 68,086 34,043 102,130 51,065 153,196 76,598 38,299 114,898 57,449 172,348 86,174 43,087 129,262 64,631 193,894 96,947 290,842 145,421 436,264 218,132 109,066 54,533 163,600 81,800 40,900 20,450 10,225

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