9,406,176

2⁵ × 3 × 13 × 7537

For 9,406,176, the 48 positive divisors have a total of 26,594,064. Removing 9,406,176 leaves 17,187,888, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 7537

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 26,594,064

Proper Divisor Sum 17,187,888

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9406171 ← → #9406181

Radix Representation

Decimal	9406176
Binary	100011111000011011100000 (24 bits)
Octal	0o43703340
Hexadecimal	0x8F86E0

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 7,537 15,074 22,611 30,148 45,222 60,296 90,444 97,981 120,592 180,888 195,962 241,184 293,943 361,776 391,924 587,886 723,552 783,848 1,175,772 1,567,696 2,351,544 3,135,392 4,703,088 9,406,176

Collatz Trajectory (132 steps to reach 1)

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

9,406,176 4,703,088 2,351,544 1,175,772 587,886 293,943 881,830 440,915 1,322,746 661,373 1,984,120 992,060 496,030 248,015 744,046 372,023 1,116,070 558,035 1,674,106 837,053 2,511,160 1,255,580 627,790 313,895 941,686 470,843 1,412,530 706,265 2,118,796 1,059,398 529,699 1,589,098 794,549 2,383,648 1,191,824 595,912 297,956 148,978 74,489 223,468 111,734 55,867 167,602 83,801 251,404 125,702 62,851 188,554 94,277 282,832 141,416 70,708 35,354 17,677 53,032 26,516 13,258 6,629 19,888 9,944

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