4,835,792

2⁴ × 13 × 67 × 347

4,835,792 has digital root 2. The neighboring primes are 4835791 and 4835797; its proper-divisor sum differs from the starting integer by 598,592.

Prime Factor Structure

Factorization String 2^4 × 13 × 67 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,270,176

Proper Divisor Sum 5,434,384

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4835791 ← → #4835797

Radix Representation

Decimal	4835792
Binary	10010011100100111010000 (23 bits)
Octal	0o22344720
Hexadecimal	0x49C9D0

Divisor Catalog (40)

1 2 4 8 13 16 26 52 67 104 134 208 268 347 536 694 871 1,072 1,388 1,742 2,776 3,484 4,511 5,552 6,968 9,022 13,936 18,044 23,249 36,088 46,498 72,176 92,996 185,992 302,237 371,984 604,474 1,208,948 2,417,896 4,835,792

Collatz Trajectory (237 steps to reach 1)

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

4,835,792 2,417,896 1,208,948 604,474 302,237 906,712 453,356 226,678 113,339 340,018 170,009 510,028 255,014 127,507 382,522 191,261 573,784 286,892 143,446 71,723 215,170 107,585 322,756 161,378 80,689 242,068 121,034 60,517 181,552 90,776 45,388 22,694 11,347 34,042 17,021 51,064 25,532 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072

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