λ
Harmonic Matrix

2,908,272

24 × 3 × 60589
Abundant Even Composite

2,908,272 has digital root 3. The neighboring primes are 2908271 and 2908277; its proper-divisor sum differs from the starting integer by 1,696,616.

Prime Factor Structure

Factorization String 2^4 × 3 × 60589
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,513,160
Proper Divisor Sum 4,604,888
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2908271 ← → #2908277

Radix Representation

Decimal 2908272
Binary 1011000110000001110000 (22 bits)
Octal 0o13060160
Hexadecimal 0x2C6070

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 60,589 121,178 181,767 242,356 363,534 484,712 727,068 969,424 1,454,136 2,908,272

Collatz Trajectory (169 steps to reach 1)

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

2,908,272 1,454,136 727,068 363,534 181,767 545,302 272,651 817,954 408,977 1,226,932 613,466 306,733 920,200 460,100 230,050 115,025 345,076 172,538 86,269 258,808 129,404 64,702 32,351 97,054 48,527 145,582 72,791 218,374 109,187 327,562 163,781 491,344 245,672 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454

More profiles

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