λ
Harmonic Matrix

9,737,915

5 × 11 × 101 × 1753
Deficient Odd Composite

9,737,915 has digital root 5. The neighboring primes are 9737887 and 9737921; its proper-divisor sum differs from the starting integer by -6,594,454.

Prime Factor Structure

Factorization String 5 × 11 × 101 × 1753
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,881,376
Proper Divisor Sum 3,143,461
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9737887 ← → #9737921

Radix Representation

Decimal 9737915
Binary 100101001001011010111011 (24 bits)
Octal 0o45113273
Hexadecimal 0x9496BB

Divisor Catalog (16)

1 5 11 55 101 505 1,111 1,753 5,555 8,765 19,283 96,415 177,053 885,265 1,947,583 9,737,915

Collatz Trajectory (62 steps to reach 1)

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

9,737,915 29,213,746 14,606,873 43,820,620 21,910,310 10,955,155 32,865,466 16,432,733 49,298,200 24,649,100 12,324,550 6,162,275 18,486,826 9,243,413 27,730,240 13,865,120 6,932,560 3,466,280 1,733,140 866,570 433,285 1,299,856 649,928 324,964 162,482 81,241 243,724 121,862 60,931 182,794 91,397 274,192 137,096 68,548 34,274 17,137 51,412 25,706 12,853 38,560 19,280 9,640 4,820 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8

More profiles

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