829,490

2 × 5 × 109 × 761

829,490 factors as 2 × 5 × 109 × 761. Its 16 positive divisors give a proper-divisor sum of 679,270, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2 × 5 × 109 × 761

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,508,760

Proper Divisor Sum 679,270

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #829469 ← → #829501

Radix Representation

Decimal	829490
Binary	11001010100000110010 (20 bits)
Octal	0o3124062
Hexadecimal	0xCA832

Divisor Catalog (16)

1 2 5 10 109 218 545 761 1,090 1,522 3,805 7,610 82,949 165,898 414,745 829,490

Collatz Trajectory (237 steps to reach 1)

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

829,490 414,745 1,244,236 622,118 311,059 933,178 466,589 1,399,768 699,884 349,942 174,971 524,914 262,457 787,372 393,686 196,843 590,530 295,265 885,796 442,898 221,449 664,348 332,174 166,087 498,262 249,131 747,394 373,697 1,121,092 560,546 280,273 840,820 420,410 210,205 630,616 315,308 157,654 78,827 236,482 118,241 354,724 177,362 88,681 266,044 133,022 66,511 199,534 99,767 299,302 149,651 448,954 224,477 673,432 336,716 168,358 84,179 252,538 126,269 378,808 189,404

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