5,523,921

3² × 13 × 31 × 1523

5,523,921 has digital root 9. The neighboring primes are 5523919 and 5523943; its proper-divisor sum differs from the starting integer by -2,172,066.

Prime Factor Structure

Factorization String 3^2 × 13 × 31 × 1523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,875,776

Proper Divisor Sum 3,351,855

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5523919 ← → #5523943

Radix Representation

Decimal	5523921
Binary	10101000100100111010001 (23 bits)
Octal	0o25044721
Hexadecimal	0x5449D1

Divisor Catalog (24)

1 3 9 13 31 39 93 117 279 403 1,209 1,523 3,627 4,569 13,707 19,799 47,213 59,397 141,639 178,191 424,917 613,769 1,841,307 5,523,921

Collatz Trajectory (263 steps to reach 1)

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

5,523,921 16,571,764 8,285,882 4,142,941 12,428,824 6,214,412 3,107,206 1,553,603 4,660,810 2,330,405 6,991,216 3,495,608 1,747,804 873,902 436,951 1,310,854 655,427 1,966,282 983,141 2,949,424 1,474,712 737,356 368,678 184,339 553,018 276,509 829,528 414,764 207,382 103,691 311,074 155,537 466,612 233,306 116,653 349,960 174,980 87,490 43,745 131,236 65,618 32,809 98,428 49,214 24,607 73,822 36,911 110,734 55,367 166,102 83,051 249,154 124,577 373,732 186,866 93,433 280,300 140,150 70,075 210,226

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