4,292,007

3 × 17 × 23 × 3659

4,292,007 factors as 3 × 17 × 23 × 3659. Its 16 positive divisors give a proper-divisor sum of 2,032,473, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3 × 17 × 23 × 3659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,324,480

Proper Divisor Sum 2,032,473

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4291979 ← → #4292009

Radix Representation

Decimal	4292007
Binary	10000010111110110100111 (23 bits)
Octal	0o20276647
Hexadecimal	0x417DA7

Divisor Catalog (16)

1 3 17 23 51 69 391 1,173 3,659 10,977 62,203 84,157 186,609 252,471 1,430,669 4,292,007

Collatz Trajectory (167 steps to reach 1)

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

4,292,007 12,876,022 6,438,011 19,314,034 9,657,017 28,971,052 14,485,526 7,242,763 21,728,290 10,864,145 32,592,436 16,296,218 8,148,109 24,444,328 12,222,164 6,111,082 3,055,541 9,166,624 4,583,312 2,291,656 1,145,828 572,914 286,457 859,372 429,686 214,843 644,530 322,265 966,796 483,398 241,699 725,098 362,549 1,087,648 543,824 271,912 135,956 67,978 33,989 101,968 50,984 25,492 12,746 6,373 19,120 9,560 4,780 2,390 1,195 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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