1,142,829

3⁵ × 4703

1,142,829 factors as 3^5 × 4703. Its 12 positive divisors give a proper-divisor sum of 569,427, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3^5 × 4703

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,712,256

Proper Divisor Sum 569,427

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1142821 ← → #1142833

Radix Representation

Decimal	1142829
Binary	100010111000000101101 (21 bits)
Octal	0o4270055
Hexadecimal	0x11702D

Divisor Catalog (12)

1 3 9 27 81 243 4,703 14,109 42,327 126,981 380,943 1,142,829

Collatz Trajectory (103 steps to reach 1)

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

1,142,829 3,428,488 1,714,244 857,122 428,561 1,285,684 642,842 321,421 964,264 482,132 241,066 120,533 361,600 180,800 90,400 45,200 22,600 11,300 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214

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