λ
Harmonic Matrix

2,437,987

17 × 61 × 2351
Deficient Odd Composite

2,437,987 has digital root 4. The neighboring primes are 2437973 and 2437993; its proper-divisor sum differs from the starting integer by -2,251,142.

Prime Factor Structure

Factorization String 17 × 61 × 2351
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,624,832
Proper Divisor Sum 186,845
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2437973 ← → #2437993

Radix Representation

Decimal 2437987
Binary 1001010011001101100011 (22 bits)
Octal 0o11231543
Hexadecimal 0x253363

Divisor Catalog (8)

1 17 61 1,037 2,351 39,967 143,411 2,437,987

Collatz Trajectory (205 steps to reach 1)

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

2,437,987 7,313,962 3,656,981 10,970,944 5,485,472 2,742,736 1,371,368 685,684 342,842 171,421 514,264 257,132 128,566 64,283 192,850 96,425 289,276 144,638 72,319 216,958 108,479 325,438 162,719 488,158 244,079 732,238 366,119 1,098,358 549,179 1,647,538 823,769 2,471,308 1,235,654 617,827 1,853,482 926,741 2,780,224 1,390,112 695,056 347,528 173,764 86,882 43,441 130,324 65,162 32,581 97,744 48,872 24,436 12,218 6,109 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578

More profiles

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