2,124,199

7³ × 11 × 563

2,124,199 factors as 7^3 × 11 × 563. Its 16 positive divisors give a proper-divisor sum of 583,001, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 7^3 × 11 × 563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,707,200

Proper Divisor Sum 583,001

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2124197 ← → #2124223

Radix Representation

Decimal	2124199
Binary	1000000110100110100111 (22 bits)
Octal	0o10064647
Hexadecimal	0x2069A7

Divisor Catalog (16)

1 7 11 49 77 343 539 563 3,773 3,941 6,193 27,587 43,351 193,109 303,457 2,124,199

Collatz Trajectory (104 steps to reach 1)

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

2,124,199 6,372,598 3,186,299 9,558,898 4,779,449 14,338,348 7,169,174 3,584,587 10,753,762 5,376,881 16,130,644 8,065,322 4,032,661 12,097,984 6,048,992 3,024,496 1,512,248 756,124 378,062 189,031 567,094 283,547 850,642 425,321 1,275,964 637,982 318,991 956,974 478,487 1,435,462 717,731 2,153,194 1,076,597 3,229,792 1,614,896 807,448 403,724 201,862 100,931 302,794 151,397 454,192 227,096 113,548 56,774 28,387 85,162 42,581 127,744 63,872 31,936 15,968 7,984 3,992 1,996 998 499 1,498 749 2,248

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