9,130,461

3 × 31² × 3167

9,130,461 factors as 3 × 31^2 × 3167. Its 12 positive divisors give a proper-divisor sum of 3,452,835, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3 × 31^2 × 3167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,583,296

Proper Divisor Sum 3,452,835

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9130423 ← → #9130463

Radix Representation

Decimal	9130461
Binary	100010110101000111011101 (24 bits)
Octal	0o42650735
Hexadecimal	0x8B51DD

Divisor Catalog (12)

1 3 31 93 961 2,883 3,167 9,501 98,177 294,531 3,043,487 9,130,461

Collatz Trajectory (225 steps to reach 1)

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

9,130,461 27,391,384 13,695,692 6,847,846 3,423,923 10,271,770 5,135,885 15,407,656 7,703,828 3,851,914 1,925,957 5,777,872 2,888,936 1,444,468 722,234 361,117 1,083,352 541,676 270,838 135,419 406,258 203,129 609,388 304,694 152,347 457,042 228,521 685,564 342,782 171,391 514,174 257,087 771,262 385,631 1,156,894 578,447 1,735,342 867,671 2,603,014 1,301,507 3,904,522 1,952,261 5,856,784 2,928,392 1,464,196 732,098 366,049 1,098,148 549,074 274,537 823,612 411,806 205,903 617,710 308,855 926,566 463,283 1,389,850 694,925 2,084,776

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