λ
Harmonic Matrix

5,508,863

113 × 48751
Deficient Odd Composite

5,508,863 has digital root 8. The neighboring primes are 5508857 and 5508871; its proper-divisor sum differs from the starting integer by -5,459,998.

Prime Factor Structure

Factorization String 113 × 48751
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,557,728
Proper Divisor Sum 48,865
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5508857 ← → #5508871

Radix Representation

Decimal 5508863
Binary 10101000000111011111111 (23 bits)
Octal 0o25007377
Hexadecimal 0x540EFF

Divisor Catalog (4)

1 113 48,751 5,508,863

Collatz Trajectory (232 steps to reach 1)

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

5,508,863 16,526,590 8,263,295 24,789,886 12,394,943 37,184,830 18,592,415 55,777,246 27,888,623 83,665,870 41,832,935 125,498,806 62,749,403 188,248,210 94,124,105 282,372,316 141,186,158 70,593,079 211,779,238 105,889,619 317,668,858 158,834,429 476,503,288 238,251,644 119,125,822 59,562,911 178,688,734 89,344,367 268,033,102 134,016,551 402,049,654 201,024,827 603,074,482 301,537,241 904,611,724 452,305,862 226,152,931 678,458,794 339,229,397 1,017,688,192 508,844,096 254,422,048 127,211,024 63,605,512 31,802,756 15,901,378 7,950,689 23,852,068 11,926,034 5,963,017 17,889,052 8,944,526 4,472,263 13,416,790 6,708,395 20,125,186 10,062,593 30,187,780 15,093,890 7,546,945

More profiles

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