4,007,265

3 × 5 × 463 × 577

4,007,265 is odd and not a perfect square. Its factorization is 3 × 5 × 463 × 577 and its 16 divisors sum to 6,436,608.

Prime Factor Structure

Factorization String 3 × 5 × 463 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,436,608

Proper Divisor Sum 2,429,343

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4007261 ← → #4007279

Radix Representation

Decimal	4007265
Binary	1111010010010101100001 (22 bits)
Octal	0o17222541
Hexadecimal	0x3D2561

Divisor Catalog (16)

1 3 5 15 463 577 1,389 1,731 2,315 2,885 6,945 8,655 267,151 801,453 1,335,755 4,007,265

Collatz Trajectory (428 steps to reach 1)

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

4,007,265 12,021,796 6,010,898 3,005,449 9,016,348 4,508,174 2,254,087 6,762,262 3,381,131 10,143,394 5,071,697 15,215,092 7,607,546 3,803,773 11,411,320 5,705,660 2,852,830 1,426,415 4,279,246 2,139,623 6,418,870 3,209,435 9,628,306 4,814,153 14,442,460 7,221,230 3,610,615 10,831,846 5,415,923 16,247,770 8,123,885 24,371,656 12,185,828 6,092,914 3,046,457 9,139,372 4,569,686 2,284,843 6,854,530 3,427,265 10,281,796 5,140,898 2,570,449 7,711,348 3,855,674 1,927,837 5,783,512 2,891,756 1,445,878 722,939 2,168,818 1,084,409 3,253,228 1,626,614 813,307 2,439,922 1,219,961 3,659,884 1,829,942 914,971

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