2,472,804

2² × 3² × 149 × 461

2,472,804 has digital root 9. The neighboring primes are 2472797 and 2472809; its proper-divisor sum differs from the starting integer by 1,360,692.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 149 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,306,300

Proper Divisor Sum 3,833,496

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2472797 ← → #2472809

Radix Representation

Decimal	2472804
Binary	1001011011101101100100 (22 bits)
Octal	0o11335544
Hexadecimal	0x25BB64

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 149 298 447 461 596 894 922 1,341 1,383 1,788 1,844 2,682 2,766 4,149 5,364 5,532 8,298 16,596 68,689 137,378 206,067 274,756 412,134 618,201 824,268 1,236,402 2,472,804

Collatz Trajectory (174 steps to reach 1)

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

2,472,804 1,236,402 618,201 1,854,604 927,302 463,651 1,390,954 695,477 2,086,432 1,043,216 521,608 260,804 130,402 65,201 195,604 97,802 48,901 146,704 73,352 36,676 18,338 9,169 27,508 13,754 6,877 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73

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