3,772,025

5² × 150881

3,772,025 factors as 5^2 × 150881. Its 6 positive divisors give a proper-divisor sum of 905,317, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 5^2 × 150881

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,677,342

Proper Divisor Sum 905,317

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3772019 ← → #3772031

Radix Representation

Decimal	3772025
Binary	1110011000111001111001 (22 bits)
Octal	0o16307171
Hexadecimal	0x398E79

Divisor Catalog (6)

1 5 25 150,881 754,405 3,772,025

Collatz Trajectory (110 steps to reach 1)

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

3,772,025 11,316,076 5,658,038 2,829,019 8,487,058 4,243,529 12,730,588 6,365,294 3,182,647 9,547,942 4,773,971 14,321,914 7,160,957 21,482,872 10,741,436 5,370,718 2,685,359 8,056,078 4,028,039 12,084,118 6,042,059 18,126,178 9,063,089 27,189,268 13,594,634 6,797,317 20,391,952 10,195,976 5,097,988 2,548,994 1,274,497 3,823,492 1,911,746 955,873 2,867,620 1,433,810 716,905 2,150,716 1,075,358 537,679 1,613,038 806,519 2,419,558 1,209,779 3,629,338 1,814,669 5,444,008 2,722,004 1,361,002 680,501 2,041,504 1,020,752 510,376 255,188 127,594 63,797 191,392 95,696 47,848 23,924

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