9,105,729

3 × 769 × 3947

9,105,729 factors as 3 × 769 × 3947. Its 8 positive divisors give a proper-divisor sum of 3,054,111, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3 × 769 × 3947

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,159,840

Proper Divisor Sum 3,054,111

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9105721 ← → #9105743

Radix Representation

Decimal	9105729
Binary	100010101111000101000001 (24 bits)
Octal	0o42570501
Hexadecimal	0x8AF141

Divisor Catalog (8)

1 3 769 2,307 3,947 11,841 3,035,243 9,105,729

Collatz Trajectory (119 steps to reach 1)

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

9,105,729 27,317,188 13,658,594 6,829,297 20,487,892 10,243,946 5,121,973 15,365,920 7,682,960 3,841,480 1,920,740 960,370 480,185 1,440,556 720,278 360,139 1,080,418 540,209 1,620,628 810,314 405,157 1,215,472 607,736 303,868 151,934 75,967 227,902 113,951 341,854 170,927 512,782 256,391 769,174 384,587 1,153,762 576,881 1,730,644 865,322 432,661 1,297,984 648,992 324,496 162,248 81,124 40,562 20,281 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760

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