λ
Harmonic Matrix

4,937,117

1129 × 4373
Deficient Odd Composite

4,937,117 has digital root 5. The neighboring primes are 4937113 and 4937129; its proper-divisor sum differs from the starting integer by -4,931,614.

Prime Factor Structure

Factorization String 1129 × 4373
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,942,620
Proper Divisor Sum 5,503
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4937113 ← → #4937129

Radix Representation

Decimal 4937117
Binary 10010110101010110011101 (23 bits)
Octal 0o22652635
Hexadecimal 0x4B559D

Divisor Catalog (4)

1 1,129 4,373 4,937,117

Collatz Trajectory (87 steps to reach 1)

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

4,937,117 14,811,352 7,405,676 3,702,838 1,851,419 5,554,258 2,777,129 8,331,388 4,165,694 2,082,847 6,248,542 3,124,271 9,372,814 4,686,407 14,059,222 7,029,611 21,088,834 10,544,417 31,633,252 15,816,626 7,908,313 23,724,940 11,862,470 5,931,235 17,793,706 8,896,853 26,690,560 13,345,280 6,672,640 3,336,320 1,668,160 834,080 417,040 208,520 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224

More profiles

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