5,402,740

2² × 5 × 7² × 37 × 149

5,402,740 has digital root 4. The neighboring primes are 5402737 and 5402741; its proper-divisor sum differs from the starting integer by 2,840,320.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 37 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 13,645,800

Proper Divisor Sum 8,243,060

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #5402737 ← → #5402741

Radix Representation

Decimal	5402740
Binary	10100100111000001110100 (23 bits)
Octal	0o24470164
Hexadecimal	0x527074

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 149 185 196 245 259 298 370 490 518 596 740 745 980 1,036 1,043 1,295 1,490 1,813 2,086 2,590 2,980 3,626 4,172 5,180 5,215 5,513 7,252 7,301 9,065 10,430 11,026 14,602 18,130 20,860 22,052 27,565 29,204 36,260 36,505 38,591 55,130 73,010 77,182

Collatz Trajectory (232 steps to reach 1)

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

5,402,740 2,701,370 1,350,685 4,052,056 2,026,028 1,013,014 506,507 1,519,522 759,761 2,279,284 1,139,642 569,821 1,709,464 854,732 427,366 213,683 641,050 320,525 961,576 480,788 240,394 120,197 360,592 180,296 90,148 45,074 22,537 67,612 33,806 16,903 50,710 25,355 76,066 38,033 114,100 57,050 28,525 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714

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