λ
Harmonic Matrix

9,749,692

22 × 2437423
Deficient Even Composite

9,749,692 has digital root 1. The neighboring primes are 9749681 and 9749693; its proper-divisor sum differs from the starting integer by -2,437,416.

Prime Factor Structure

Factorization String 2^2 × 2437423
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 17,061,968
Proper Divisor Sum 7,312,276
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9749681 ← → #9749693

Radix Representation

Decimal 9749692
Binary 100101001100010010111100 (24 bits)
Octal 0o45142274
Hexadecimal 0x94C4BC

Divisor Catalog (6)

1 2 4 2,437,423 4,874,846 9,749,692

Collatz Trajectory (251 steps to reach 1)

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

9,749,692 4,874,846 2,437,423 7,312,270 3,656,135 10,968,406 5,484,203 16,452,610 8,226,305 24,678,916 12,339,458 6,169,729 18,509,188 9,254,594 4,627,297 13,881,892 6,940,946 3,470,473 10,411,420 5,205,710 2,602,855 7,808,566 3,904,283 11,712,850 5,856,425 17,569,276 8,784,638 4,392,319 13,176,958 6,588,479 19,765,438 9,882,719 29,648,158 14,824,079 44,472,238 22,236,119 66,708,358 33,354,179 100,062,538 50,031,269 150,093,808 75,046,904 37,523,452 18,761,726 9,380,863 28,142,590 14,071,295 42,213,886 21,106,943 63,320,830 31,660,415 94,981,246 47,490,623 142,471,870 71,235,935 213,707,806 106,853,903 320,561,710 160,280,855 480,842,566

More profiles

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