3,972,001

11 × 361091

3,972,001 factors as 11 × 361091. Its 4 positive divisors give a proper-divisor sum of 361,103, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 11 × 361091

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,333,104

Proper Divisor Sum 361,103

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3971993 ← → #3972011

Radix Representation

Decimal	3972001
Binary	1111001001101110100001 (22 bits)
Octal	0o17115641
Hexadecimal	0x3C9BA1

Divisor Catalog (4)

1 11 361,091 3,972,001

Collatz Trajectory (123 steps to reach 1)

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

3,972,001 11,916,004 5,958,002 2,979,001 8,937,004 4,468,502 2,234,251 6,702,754 3,351,377 10,054,132 5,027,066 2,513,533 7,540,600 3,770,300 1,885,150 942,575 2,827,726 1,413,863 4,241,590 2,120,795 6,362,386 3,181,193 9,543,580 4,771,790 2,385,895 7,157,686 3,578,843 10,736,530 5,368,265 16,104,796 8,052,398 4,026,199 12,078,598 6,039,299 18,117,898 9,058,949 27,176,848 13,588,424 6,794,212 3,397,106 1,698,553 5,095,660 2,547,830 1,273,915 3,821,746 1,910,873 5,732,620 2,866,310 1,433,155 4,299,466 2,149,733 6,449,200 3,224,600 1,612,300 806,150 403,075 1,209,226 604,613 1,813,840 906,920

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