λ
Harmonic Matrix

9,612,506

2 × 97 × 49549
Deficient Even Composite

9,612,506 has digital root 2. The neighboring primes are 9612481 and 9612523; its proper-divisor sum differs from the starting integer by -4,657,312.

Prime Factor Structure

Factorization String 2 × 97 × 49549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,567,700
Proper Divisor Sum 4,955,194
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9612481 ← → #9612523

Radix Representation

Decimal 9612506
Binary 100100101010110011011010 (24 bits)
Octal 0o44526332
Hexadecimal 0x92ACDA

Divisor Catalog (8)

1 2 97 194 49,549 99,098 4,806,253 9,612,506

Collatz Trajectory (101 steps to reach 1)

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

9,612,506 4,806,253 14,418,760 7,209,380 3,604,690 1,802,345 5,407,036 2,703,518 1,351,759 4,055,278 2,027,639 6,082,918 3,041,459 9,124,378 4,562,189 13,686,568 6,843,284 3,421,642 1,710,821 5,132,464 2,566,232 1,283,116 641,558 320,779 962,338 481,169 1,443,508 721,754 360,877 1,082,632 541,316 270,658 135,329 405,988 202,994 101,497 304,492 152,246 76,123 228,370 114,185 342,556 171,278 85,639 256,918 128,459 385,378 192,689 578,068 289,034 144,517 433,552 216,776 108,388 54,194 27,097 81,292 40,646 20,323 60,970

More profiles

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