5,772,735

3³ × 5 × 61 × 701

5,772,735 factors as 3^3 × 5 × 61 × 701. Its 32 positive divisors give a proper-divisor sum of 4,673,025, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 61 × 701

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,445,760

Proper Divisor Sum 4,673,025

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5772731 ← → #5772763

Radix Representation

Decimal	5772735
Binary	10110000001010110111111 (23 bits)
Octal	0o26012677
Hexadecimal	0x5815BF

Divisor Catalog (32)

Collatz Trajectory (214 steps to reach 1)

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

5,772,735 17,318,206 8,659,103 25,977,310 12,988,655 38,965,966 19,482,983 58,448,950 29,224,475 87,673,426 43,836,713 131,510,140 65,755,070 32,877,535 98,632,606 49,316,303 147,948,910 73,974,455 221,923,366 110,961,683 332,885,050 166,442,525 499,327,576 249,663,788 124,831,894 62,415,947 187,247,842 93,623,921 280,871,764 140,435,882 70,217,941 210,653,824 105,326,912 52,663,456 26,331,728 13,165,864 6,582,932 3,291,466 1,645,733 4,937,200 2,468,600 1,234,300 617,150 308,575 925,726 462,863 1,388,590 694,295 2,082,886 1,041,443 3,124,330 1,562,165 4,686,496 2,343,248 1,171,624 585,812 292,906 146,453 439,360 219,680

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