λ
Prime Ledger

2,975,833

7 × 172 × 1471
Deficient Odd Composite

2,975,833 has the prime decomposition 7 × 17^2 × 1471. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 17^2 × 1471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,615,232
Proper Divisor Sum 639,399
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2975813 ← → #2975839

Radix Representation

Decimal 2975833
Binary 1011010110100001011001 (22 bits)
Octal 0o13264131
Hexadecimal 0x2D6859

Divisor Catalog (12)

1 7 17 119 289 1,471 2,023 10,297 25,007 175,049 425,119 2,975,833

Collatz Trajectory (120 steps to reach 1)

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

2,975,833 8,927,500 4,463,750 2,231,875 6,695,626 3,347,813 10,043,440 5,021,720 2,510,860 1,255,430 627,715 1,883,146 941,573 2,824,720 1,412,360 706,180 353,090 176,545 529,636 264,818 132,409 397,228 198,614 99,307 297,922 148,961 446,884 223,442 111,721 335,164 167,582 83,791 251,374 125,687 377,062 188,531 565,594 282,797 848,392 424,196 212,098 106,049 318,148 159,074 79,537 238,612 119,306 59,653 178,960 89,480 44,740 22,370 11,185 33,556 16,778 8,389 25,168 12,584 6,292 3,146

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