λ
Math Directory

5,531,537

11 × 37 × 13591
Deficient Odd Composite

5,531,537 factors as 11 × 37 × 13591. Its 8 positive divisors give a proper-divisor sum of 666,415, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 11 × 37 × 13591
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,197,952
Proper Divisor Sum 666,415
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5531531 ← → #5531549

Radix Representation

Decimal 5531537
Binary 10101000110011110010001 (23 bits)
Octal 0o25063621
Hexadecimal 0x546791

Divisor Catalog (8)

1 11 37 407 13,591 149,501 502,867 5,531,537

Collatz Trajectory (139 steps to reach 1)

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

5,531,537 16,594,612 8,297,306 4,148,653 12,445,960 6,222,980 3,111,490 1,555,745 4,667,236 2,333,618 1,166,809 3,500,428 1,750,214 875,107 2,625,322 1,312,661 3,937,984 1,968,992 984,496 492,248 246,124 123,062 61,531 184,594 92,297 276,892 138,446 69,223 207,670 103,835 311,506 155,753 467,260 233,630 116,815 350,446 175,223 525,670 262,835 788,506 394,253 1,182,760 591,380 295,690 147,845 443,536 221,768 110,884 55,442 27,721 83,164 41,582 20,791 62,374 31,187 93,562 46,781 140,344 70,172 35,086

More profiles

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