4,448,665

5 × 13 × 89 × 769

4,448,665 has digital root 1. The neighboring primes are 4448657 and 4448671; its proper-divisor sum differs from the starting integer by -3,076,130.

Prime Factor Structure

Factorization String 5 × 13 × 89 × 769

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,821,200

Proper Divisor Sum 1,372,535

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4448657 ← → #4448671

Radix Representation

Decimal	4448665
Binary	10000111110000110011001 (23 bits)
Octal	0o20760631
Hexadecimal	0x43E199

Divisor Catalog (16)

1 5 13 65 89 445 769 1,157 3,845 5,785 9,997 49,985 68,441 342,205 889,733 4,448,665

Collatz Trajectory (304 steps to reach 1)

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

4,448,665 13,345,996 6,672,998 3,336,499 10,009,498 5,004,749 15,014,248 7,507,124 3,753,562 1,876,781 5,630,344 2,815,172 1,407,586 703,793 2,111,380 1,055,690 527,845 1,583,536 791,768 395,884 197,942 98,971 296,914 148,457 445,372 222,686 111,343 334,030 167,015 501,046 250,523 751,570 375,785 1,127,356 563,678 281,839 845,518 422,759 1,268,278 634,139 1,902,418 951,209 2,853,628 1,426,814 713,407 2,140,222 1,070,111 3,210,334 1,605,167 4,815,502 2,407,751 7,223,254 3,611,627 10,834,882 5,417,441 16,252,324 8,126,162 4,063,081 12,189,244 6,094,622

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