312,724

2² × 37 × 2113

312,724 has digital root 1. The neighboring primes are 312709 and 312727; its proper-divisor sum differs from the starting integer by -63,124.

Prime Factor Structure

Factorization String 2^2 × 37 × 2113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 562,324

Proper Divisor Sum 249,600

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #312709 ← → #312727

Radix Representation

Decimal	312724
Binary	1001100010110010100 (19 bits)
Octal	0o1142624
Hexadecimal	0x4C594

Divisor Catalog (12)

1 2 4 37 74 148 2,113 4,226 8,452 78,181 156,362 312,724

Collatz Trajectory (109 steps to reach 1)

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

312,724 156,362 78,181 234,544 117,272 58,636 29,318 14,659 43,978 21,989 65,968 32,984 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985

← Previous Integer #312,723 Browse Full Index Next Integer #312,725 →