λ
Harmonic Matrix

3,723,506

2 × 19 × 97987
Deficient Even Composite

3,723,506 has digital root 8. The neighboring primes are 3723469 and 3723521; its proper-divisor sum differs from the starting integer by -1,567,732.

Prime Factor Structure

Factorization String 2 × 19 × 97987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,879,280
Proper Divisor Sum 2,155,774
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3723469 ← → #3723521

Radix Representation

Decimal 3723506
Binary 1110001101000011110010 (22 bits)
Octal 0o16150362
Hexadecimal 0x38D0F2

Divisor Catalog (8)

1 2 19 38 97,987 195,974 1,861,753 3,723,506

Collatz Trajectory (141 steps to reach 1)

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

3,723,506 1,861,753 5,585,260 2,792,630 1,396,315 4,188,946 2,094,473 6,283,420 3,141,710 1,570,855 4,712,566 2,356,283 7,068,850 3,534,425 10,603,276 5,301,638 2,650,819 7,952,458 3,976,229 11,928,688 5,964,344 2,982,172 1,491,086 745,543 2,236,630 1,118,315 3,354,946 1,677,473 5,032,420 2,516,210 1,258,105 3,774,316 1,887,158 943,579 2,830,738 1,415,369 4,246,108 2,123,054 1,061,527 3,184,582 1,592,291 4,776,874 2,388,437 7,165,312 3,582,656 1,791,328 895,664 447,832 223,916 111,958 55,979 167,938 83,969 251,908 125,954 62,977 188,932 94,466 47,233 141,700

More profiles

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