λ
Harmonic Matrix

4,108,996

22 × 23 × 59 × 757
Deficient Even Composite

4,108,996 has digital root 1. The neighboring primes are 4108991 and 4108999; its proper-divisor sum differs from the starting integer by -577,352.

Prime Factor Structure

Factorization String 2^2 × 23 × 59 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,640,640
Proper Divisor Sum 3,531,644
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4108991 ← → #4108999

Radix Representation

Decimal 4108996
Binary 1111101011001011000100 (22 bits)
Octal 0o17531304
Hexadecimal 0x3EB2C4

Divisor Catalog (24)

1 2 4 23 46 59 92 118 236 757 1,357 1,514 2,714 3,028 5,428 17,411 34,822 44,663 69,644 89,326 178,652 1,027,249 2,054,498 4,108,996

Collatz Trajectory (105 steps to reach 1)

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

4,108,996 2,054,498 1,027,249 3,081,748 1,540,874 770,437 2,311,312 1,155,656 577,828 288,914 144,457 433,372 216,686 108,343 325,030 162,515 487,546 243,773 731,320 365,660 182,830 91,415 274,246 137,123 411,370 205,685 617,056 308,528 154,264 77,132 38,566 19,283 57,850 28,925 86,776 43,388 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068

More profiles

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