9,557,829

3² × 251 × 4231

9,557,829 has digital root 9. The neighboring primes are 9557789 and 9557843; its proper-divisor sum differs from the starting integer by -5,251,626.

Prime Factor Structure

Factorization String 3^2 × 251 × 4231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,864,032

Proper Divisor Sum 4,306,203

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9557789 ← → #9557843

Radix Representation

Decimal	9557829
Binary	100100011101011101000101 (24 bits)
Octal	0o44353505
Hexadecimal	0x91D745

Divisor Catalog (12)

1 3 9 251 753 2,259 4,231 12,693 38,079 1,061,981 3,185,943 9,557,829

Collatz Trajectory (145 steps to reach 1)

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

9,557,829 28,673,488 14,336,744 7,168,372 3,584,186 1,792,093 5,376,280 2,688,140 1,344,070 672,035 2,016,106 1,008,053 3,024,160 1,512,080 756,040 378,020 189,010 94,505 283,516 141,758 70,879 212,638 106,319 318,958 159,479 478,438 239,219 717,658 358,829 1,076,488 538,244 269,122 134,561 403,684 201,842 100,921 302,764 151,382 75,691 227,074 113,537 340,612 170,306 85,153 255,460 127,730 63,865 191,596 95,798 47,899 143,698 71,849 215,548 107,774 53,887 161,662 80,831 242,494 121,247 363,742

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