9,127,209

3 × 7 × 13 × 67 × 499

For 9,127,209, the 32 positive divisors have a total of 15,232,000. Removing 9,127,209 leaves 6,104,791, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 67 × 499

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,232,000

Proper Divisor Sum 6,104,791

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9127193 ← → #9127213

Radix Representation

Decimal	9127209
Binary	100010110100010100101001 (24 bits)
Octal	0o42642451
Hexadecimal	0x8B4529

Divisor Catalog (32)

1 3 7 13 21 39 67 91 201 273 469 499 871 1,407 1,497 2,613 3,493 6,097 6,487 10,479 18,291 19,461 33,433 45,409 100,299 136,227 234,031 434,629 702,093 1,303,887 3,042,403 9,127,209

Collatz Trajectory (181 steps to reach 1)

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

9,127,209 27,381,628 13,690,814 6,845,407 20,536,222 10,268,111 30,804,334 15,402,167 46,206,502 23,103,251 69,309,754 34,654,877 103,964,632 51,982,316 25,991,158 12,995,579 38,986,738 19,493,369 58,480,108 29,240,054 14,620,027 43,860,082 21,930,041 65,790,124 32,895,062 16,447,531 49,342,594 24,671,297 74,013,892 37,006,946 18,503,473 55,510,420 27,755,210 13,877,605 41,632,816 20,816,408 10,408,204 5,204,102 2,602,051 7,806,154 3,903,077 11,709,232 5,854,616 2,927,308 1,463,654 731,827 2,195,482 1,097,741 3,293,224 1,646,612 823,306 411,653 1,234,960 617,480 308,740 154,370 77,185 231,556 115,778 57,889

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