7,736,607

3³ × 286541

7,736,607 has digital root 9. The neighboring primes are 7736593 and 7736621; its proper-divisor sum differs from the starting integer by -4,011,534.

Prime Factor Structure

Factorization String 3^3 × 286541

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,461,680

Proper Divisor Sum 3,725,073

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7736593 ← → #7736621

Radix Representation

Decimal	7736607
Binary	11101100000110100011111 (23 bits)
Octal	0o35406437
Hexadecimal	0x760D1F

Divisor Catalog (8)

1 3 9 27 286,541 859,623 2,578,869 7,736,607

Collatz Trajectory (129 steps to reach 1)

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

7,736,607 23,209,822 11,604,911 34,814,734 17,407,367 52,222,102 26,111,051 78,333,154 39,166,577 117,499,732 58,749,866 29,374,933 88,124,800 44,062,400 22,031,200 11,015,600 5,507,800 2,753,900 1,376,950 688,475 2,065,426 1,032,713 3,098,140 1,549,070 774,535 2,323,606 1,161,803 3,485,410 1,742,705 5,228,116 2,614,058 1,307,029 3,921,088 1,960,544 980,272 490,136 245,068 122,534 61,267 183,802 91,901 275,704 137,852 68,926 34,463 103,390 51,695 155,086 77,543 232,630 116,315 348,946 174,473 523,420 261,710 130,855 392,566 196,283 588,850 294,425

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