5,493,537

3² × 7² × 12457

Starting at 5,493,537, the Collatz iteration reaches 1 after 201 steps. The first transition is 16480612; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 12457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,231,378

Proper Divisor Sum 3,737,841

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5493529 ← → #5493539

Radix Representation

Decimal	5493537
Binary	10100111101001100100001 (23 bits)
Octal	0o24751441
Hexadecimal	0x53D321

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 12,457 37,371 87,199 112,113 261,597 610,393 784,791 1,831,179 5,493,537

Collatz Trajectory (201 steps to reach 1)

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

5,493,537 16,480,612 8,240,306 4,120,153 12,360,460 6,180,230 3,090,115 9,270,346 4,635,173 13,905,520 6,952,760 3,476,380 1,738,190 869,095 2,607,286 1,303,643 3,910,930 1,955,465 5,866,396 2,933,198 1,466,599 4,399,798 2,199,899 6,599,698 3,299,849 9,899,548 4,949,774 2,474,887 7,424,662 3,712,331 11,136,994 5,568,497 16,705,492 8,352,746 4,176,373 12,529,120 6,264,560 3,132,280 1,566,140 783,070 391,535 1,174,606 587,303 1,761,910 880,955 2,642,866 1,321,433 3,964,300 1,982,150 991,075 2,973,226 1,486,613 4,459,840 2,229,920 1,114,960 557,480 278,740 139,370 69,685 209,056

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