5,772,389

7 × 53 × 15559

5,772,389 has digital root 5. The neighboring primes are 5772359 and 5772391; its proper-divisor sum differs from the starting integer by -4,822,858.

Prime Factor Structure

Factorization String 7 × 53 × 15559

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,721,920

Proper Divisor Sum 949,531

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #5772359 ← → #5772391

Radix Representation

Decimal	5772389
Binary	10110000001010001100101 (23 bits)
Octal	0o26012145
Hexadecimal	0x581465

Divisor Catalog (8)

1 7 53 371 15,559 108,913 824,627 5,772,389

Collatz Trajectory (214 steps to reach 1)

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

5,772,389 17,317,168 8,658,584 4,329,292 2,164,646 1,082,323 3,246,970 1,623,485 4,870,456 2,435,228 1,217,614 608,807 1,826,422 913,211 2,739,634 1,369,817 4,109,452 2,054,726 1,027,363 3,082,090 1,541,045 4,623,136 2,311,568 1,155,784 577,892 288,946 144,473 433,420 216,710 108,355 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103

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